Question

Find the solution to the system of equations given below using substitution. PLEASE ANSWER QUICKLY

A. x = 2, y = -5
B. x = 2, y = 5
C. x = 5, y = -2
D. x = 5, y = 2

Answer 1

option D

D. x = 5, y = 2

Explanation:

Given in the question two equation,

Equation 1

5.3x + y = 28.5

Equation 2

4.2x + 3.1y = 27.2

rearrange equation 1 in terms of y

y = 28.5 - 5.3x

Substitute the value of y in equation 2

4.2x + 3.1(28.5 - 5.3x) = 27.2

4.2x + 88.35 - 16.43x = 27.2

4.2x - 16.43x = 27.2 - 88.35

-12.23x = -61.15

x = 61.15/12.23

x = 5

put value of x in any of the equation

5.3(5) + y = 28.5

y = 28.5 - 26.5

y = 2