The solution of the given equations is (-4,-15). Hence option A is the correct option.
What is an equation?
If two expressions are connected with an equal sign and at least one expression contains a variable then it is an equation.
Given equations are
y=3/4x-12 ....(i)
y=-4x-31 ....(ii)
Equate equations (i) and (ii)
3/4x-12 = -4x-31
Add 12 on both sides:
3/4x = -4x-31 + 12
Add 4x on both sides:
3/4x + 4x = -31 + 12
19/4x = -19
x = -4
Putting x=-4 in equation (ii)
y=-4(-4)-31
y = 16 - 31
y = -15
To learn more about the system of equations click on the below link:
https://brainly.com/question/29026989
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