Question
The best method that would be used in solving the following system of equations is ______________________.
3x + 2y = 16
7x − 2y = 19
- Restitution
- Substitution
- Graphing
- Elimination
Hint:
In this question we have to find the first step in finding the solution with elimination . where the equations are 3x + 2y = 16 and 7x - 2y = 19. In elimination method , we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation
The correct answer is: Elimination
Here we have to find the first step for the solution.
Firstly , the equations are,
3x + 2y = 16 .......(1)
7x − 2y = 19 ......(2)
now , solve the equation(1) & equation (2), we have
3x + 2y = 16
7x - 2y = 19
____________
10x = 35
x = 3.5
substituting x = 3.5 in equation (1), we get
y = 2.75
Elimination method is best to solve the given equation because we can eliminate y by crossed out 2y and -2y.
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
Related Questions to study
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7x + 5y = -9
-3x - 5y = 5
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
These two lines intersect at ______.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
These two lines intersect at ______.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
The two lines meet at ______________
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
The two lines meet at ______________
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
Find the solution.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
Find the solution.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
Find the solution to this system of equations.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
Find the solution to this system of equations.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
These two lines intersect at _____.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
These two lines intersect at _____.
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
The two lines intersect at _____________
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
The two lines intersect at _____________
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Find the solution to this system of equations.
When the lines are parallel, there are no solutions. As they do not intersect anywhere, they do not share a common point.
Find the solution to this system of equations.
When the lines are parallel, there are no solutions. As they do not intersect anywhere, they do not share a common point.