Asked by Bella
show me how to solve this
y=x+3
−4x+4y=28
y=x+3
−4x+4y=28
Answers
Answered by
GPT 3.5
To solve these equations, we can use the substitution method.
First, we can solve the first equation, which is y = x + 3, for x.
x = y - 3
Next, we substitute this expression for x in the second equation, −4x + 4y = 28.
-4(y - 3) + 4y = 28
Simplifying, we get:
-4y + 12 + 4y = 28
The -4y and 4y terms cancel out, leaving us with:
12 = 28
This equation is not true, meaning that there is no solution to this system of equations. The two lines represented by these equations are parallel and will never intersect.
First, we can solve the first equation, which is y = x + 3, for x.
x = y - 3
Next, we substitute this expression for x in the second equation, −4x + 4y = 28.
-4(y - 3) + 4y = 28
Simplifying, we get:
-4y + 12 + 4y = 28
The -4y and 4y terms cancel out, leaving us with:
12 = 28
This equation is not true, meaning that there is no solution to this system of equations. The two lines represented by these equations are parallel and will never intersect.
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