Solve the system of equations - 2x - y = 6 and — 7x - y = -4 by combining the equations.
1 answer:
Answer:
(2,-10)
x=2
y= -10
Step-by-step explanation:
To solve by combining the equations we first need to get everything in linear form.
For both equations we can simply just add y to both sides and then subtract the other number on the right side. Doing this gets us
-2x-6=y
-7x+4=y
We then set the two equations equal to each other and solve for y
-2x-6= -7x+4
add 7x and 6 to both sides and get
5x=10
x=2
Use this x value and plug it into any equation
let's do it on the first
-2(2)-y=6
Solve for y and get
-y=10
which means that
y= -10
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