Question

Solve the system by substitution and show all work:2.5x-3y=-133.25x-y=-14

Answer 1

Answer:

(-4,1)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Pair 2.5x-3y=-13 and 3.25x-y=-14

We can solve for y in 3.25x-y=-14. 3.25x+14=y.

Because y=3.25x+14, we can substitute 3.25x+14 into y in 2.5x-3y=-13.

2.5x-3y=-13

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-7.25x-42=-13

-7.25x=29

x= -4

We now substitute x=-4 into y=3.25x+14

y=3.25x+14

y=3.25(-4)+14

y=-13+14

y=1