Answer:
y=-2
x=4
Step-by-step explanation:
add 2y to both sides of equation 2
x-2y=8
x=8+2y
now that we have determined that x equals 2y, we can use it to substitute it in the first equation
4x+y=14
4(8+2y)+y=14
multiply 4 times the numbers in the parentheses
4(8+2y)+y=14
32+8y+y=14
isolate variables by subtracting 32 from both sides
32+8y+y=14
8y+y=-18
combine like terms
8y+y=-18
9y=-18
solve by dividing both sides by 9
9y=-18
y=-2
now that we know that y=-2, lets substitute it to solve for x
4x+y=14
4x-2=14
add 2 to both sides
4x-2=14
4x=16
divide both sides by 4
4x=16
x=4
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