3y = -x+11
2x+4y= 14
Solve the system.
2 answers:
Answer:
x = -1
y = 4
Step-by-step explanation:
3y = -x + 11
2x + 4y = 14
Rearrange equation 1
It becomes
x + 3y = 11
2x + 4y = 14
Multiply equation 1 by 4 and equation 2 by 3
We have
4x + 12y = 44
6x + 12y = 42
Subtract equation 2 from one
We have
-2x = 2
Divide both sides by-2
x = -2/2
x = -1
Now substitute-1 for x in any of the equations to get y .
Using equation 1, we have
-1 + 3y = 11
Add 1 to both sides of the equation
-1 + 1 + 3y = 11 + 1
3y = 12
Divide both sides by 3
3y/3 = 12/3
y = 4
Answer:
x = -1 and y = 4
Step-by-step explanation:
Step 1: Solve 3y = -x + 11 for x
3y + x= -x + 11 + x
x + 3y = 11
x + 3y - 3y = 11 - 3y
x = −3y + 11
Step 2: Substitute -3y + 11 for x in 2x + 4y = 14
2(-3y + 11) + 4y = 14
Simplify both sides of the equation, and you get −2y + 22 = 14
−2y + 22 − 22 = 14 − 22
-2y = -8
-2y/-2 = -8/-2
y = 4
Step 3: Substitute 4 for y in x = −3y + 11
x = -3(4) + 11
Simplify both sides of the equation, and you get x = -1
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