Mathematics
Grade10
Easy
Question
Solve the following using the substitution method and find the value of x and y:
2x + 4y = 16
5x – 3y = -25
- 1, 12
- 2, 5
- -2, 5
- 1, 4
Hint:
An equation with the maximum order of 1 and an equation of a straight line is called the linear equation.
The correct answer is: 1, 4
Step 1 of 1:
We have given a linear equation
2x + 4y = 16
2(x + 2y) = 16
x + 2y = 8……………………….. 1
5x – 3y = -25…………………….. 2
From 1
x + 2y = 8
x = 8 – 2y
Substituting x in 2nd equation,
5(8 -2y) – 3y = -25
40 – 10y – 3y = -25
40 – 13y = -25
-13y = -65
y = 5
Substituting y in 1st equation,
x + 2(5) = 8
x + 10 = 8
x =-
The substitution method is the algebraic method to solve simultaneous linear equations.
