Question

Solve.

y = –4x + 10
y = –3x + 5

Answer 1

(5, -10)

Explanation:

Given system of equations:

`\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}`

Substitute the first equation into the second:

`\implies -3x+5=-4x+10`

SOLVING FOR X.

Step 1: Add 4x to both sides.

`\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10`

Step 2: Subtract 5 from both sides.

`\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}`

SOLVING FOR Y.

Step 1: Substitute
`x=5` into any of the given equations.

`\\\implies y=-4(5)+10`

Step 2: Simplify.

`\\\implies y=-20+10\\\\\implies \boxed{y=-10}`

The solution to the system of equations is (5, -10).