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Original Question
Solve the system by substitution. y, equals, 7, x, minus, 20 y= 7x−20 y, equals, 2, x y= 2xQuestion
Solve the system by substitution.
y, equals, 4, x, minus, 8
y=
4x−8
y, equals, 2, x
y=
2x
y, equals, 4, x, minus, 8
y=
4x−8
y, equals, 2, x
y=
2x
Answers
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Answered by
GPT 3.5
Since both equations are already solved for y, we can set them equal to each other and solve for x:
4x - 8 = 2x
Subtract 2x from both sides:
2x - 8 = 0
Add 8 to both sides:
2x = 8
Divide by 2:
x = 4
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use y = 4x - 8:
y = 4(4) - 8
y = 16 - 8
y = 8
Therefore, the solution to the system of equations is x = 4 and y = 8.
4x - 8 = 2x
Subtract 2x from both sides:
2x - 8 = 0
Add 8 to both sides:
2x = 8
Divide by 2:
x = 4
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use y = 4x - 8:
y = 4(4) - 8
y = 16 - 8
y = 8
Therefore, the solution to the system of equations is x = 4 and y = 8.
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