Question

Solve by elimination:

Answer 1

Answer: $(4, 3)$

Step-by-step explanation:

1) Multiply the first equation by 3,and multiply the second equation by -5: $3(2x-5y=-7)$, $-5(5x-3y=11)$

2) Simplify: $6x-15y=-21$, $-25x+15y=-55$

3) Add the equations to eliminate $y$: $-19x=-76$

4) Divide both sides by $-19$: $\frac{-19x}{19} =\frac{-76}{-19}$

5) Simplify: $x=4$

6) Substitute 4 for x in $2x-5y=-7$: $(2)(4)-5y=-7$

7) Simplify: $-5y+8=-7$

8) Subtract $8$ on both sides of the equation: $-5y+8-8=-7-8$

9) Divide both sides by $-5$: $\frac{-5y}{-5} =\frac{-15}{-5}$

10) Simplify: $y=3$

11) Write point: $(4, 3)$