Question
Use Substitution to solve each system of equations :
Y = 2X - 4
3X - 2Y = 1
Hint:
find x by substituting y (in terms of x) in the equation and find y by substituting value of x in the equations .
The correct answer is: x=7 and y =10 is the solution of the given pair of equations.
Ans :- x = 7 ; y = 10
Explanation :-
y = 2x - 4 — eq 1
3x - 2y = 1 —- eq 2
Step 1 :- find x by substituting y = 2x - 4 in eq 2.
3x - 2 (2x - 4) = 1 ⇒ 3x - 4x + 8 = 1
⇒ -x = -8 + 1 ⇒ -x = -7
⇒ x = 7
Step 2 :- substitute value of x and find y
= 2x - 4⇒ y = 2(7) - 4 ⇒ y = 14 - 4
∴ y = 10
x = 7 and y = 10 is the solution of the given pair of equations.
Related Questions to study
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The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
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The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?
The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.
