Solve the system of linear equations y = -2x + 19 y = x + 7
2 answers:
Answer:
x=4, y=11
Step-by-step explanation:
y = -2x + 19
y = x + 7
Since both equations are equal to y, we can set them equal to each other
-2x + 19= x + 7
Add 2x to each side
-2x + 19+2x= x + 7+2x
19 = 3x+7
Subtract 7 from each side
19-7 = 3x+7-7
12 = 3x
Divide by 3
12/3 = 3x/3
4=x
Now find y
y=x+7
y = 4+7
y=11
Answer:
x = 4
y = 11
Step-by-step explanation:
y = -2x + 19
y = x + 7
Put y as x + 7 in the first equation and solve for x.
x + 7 = -2x + 19
Add 2x and -7 on both sides.
x + 7 + 2x - 7 = -2x + 19 + 2x - 7
x + 2x = 19 - 7
Combine like terms.
3x = 12
Divide both sides by 3.
3x/3 = 12/3
x = 4
Put x as 4 in the second equation and solve for y.
y = 4 + 7
y = 11
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