Solve the system by substitution.

y, equals, minus, 3, x, plus, 4
y=
−3x+4
y, equals, x
y=
x

1 answer

To solve the system by substitution, we can set the two equations equal to each other:

-3x + 4 = x

Next, we can combine like terms:

-3x - x = -4

Simplifying, we have:

-4x = -4

Dividing both sides by -4:

x = 1

Now that we found the value of x, we can substitute it into either equation to find the value of y. Let's use the first equation:

y = -3(1) + 4
y = -3 + 4
y = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.
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