Question

e
| 2.
Solve this system of two linear equations using the
linear combination method.
2x - 5y = 18
y-x=-10
​

Answer 1

Answer:

$x=\frac{32}{3}, y=\frac{2}{3}$

Step-by-step explanation:

We can multiply the second equation by 2 to eliminate.

$2(y-x)=2(-10) \\ \\ 2y-2x=-20$

Let's eliminate.

$2x-5y=18 \\ -2x+2y=-20 \\ -3y=-2 \\ y=\frac{2}{3}$

Now we can substitute back into the equation to find the value of $x$.

$\frac{2}{3}-x=-10 \\ \\ \frac{2}{3}-x=-\frac{30}{3} \\ \\ -x=-\frac{32}{3} \\ \\ x=\frac{32}{3}$