Question

Critical thinking questions:
Write a system of equations with the solution (4, -3).

Answer 1

Answer: (4,-3)

Explanation:

4x+5y=1 (1)

3x-2y=18 (2)

Multiply both parts of equation (1) by 2 and both parts of equation (2) by 5:

8x+10y=2

15x-10y=90

Sum these equations:

23x=92

Divide both parts of the equation by 23:

x=4

Substitute the value of x=4 into equation (1):

4(4)+5y=1

16+5y=1

16+5y-16=1-16

5y=-15

Divide both parts of the equation by 5:

y=-3

Thus, (4,-3)