Which ordered pair is the solution to the system of linear equations y=-7x+2 and y= 9x-14

The ordered pair which is solution to given linear equations are (x, y) = (1, -5)

Solution:

Given two linear equations are:

y = -7x + 2  ---- eqn 1

y = 9x - 14 ---- eqn 2

We can solve the equations by substitution method

Substitute eqn 2 in eqn 1

9x - 14 = -7x + 2

9x + 7x = 14 + 2

16x = 16

Substitute x = 1 in eqn 1

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

Thus the ordered pair which is solution to given linear equations are (x, y) = (1, -5)

the answer is a

step-by-step explanation: