Question 665656
Starting with
y = x + -1
y =-4x + 14
...
Rearrange the first equation as, x = y + 1
Substitute it into the second equation
y = -4(y+1) + 14
y = -4y - 4 + 14
Isolate y on one side
y + 4y = -4 + 14
Combine like terms
5y = 10
Divide both sides by 5
{{{highlight(y = 2)}}}
...
To solve for x, set both of the equations equal to each other
x + (-1) = -4x +14
Combine like terms
x + 4x = 14 + 1
5x = 15
Divide both sides by 5
{{{highlight(x = 3)}}}
...
Check {{{cartoon(
2 = 3 + (-1),
2 = 2)}}}
{{{cartoon(
2 = -4(3) + 14,
2 = -12 + 14,
2 = 2)}}}
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