Question

find the solution of the system equations.
10x-7y=-1
-2x-7y=-25

Answer 1

-7y=-10x-1
-7y=-25+2x
-10x-1=-25+2x
x=2

Answer 2

Answer:

$x=2, y=3$

Step-by-step explanation:

Given equations:

$10x-7y=-1$

$-2x-7y=-25$

We can subtract the two equations from each other to eliminate $y$ to solve for $x$:

$10x-7y-(-2x-7y)=-1-(-25)$

$10x-7y+2x+7y=-1+25$

$12x=24$

$x=2$

Now, we can use substitution to solve for $y$:

$10x-7y=-1$

$10(2)-7y=-1$

$20-7y=-1$

$7y=21$

$y=3$

∴ $x=2, y=3$

Hope this helps :)