Question 678303
Starting with 4y + -1x = 4
4y + -1x + 1x = 4 + 1x
4y = 4 + x
divide the entire equation by 4
y = {{{1/4}}}x + 4/4
{{{highlight(y=(1/4)x+1)}}}
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Starting with 1y+1x=6
1y+1x - 1x = 6 - 1x
{{{highlight_green(y=-x+6)}}}
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Settng the two equations equal and solving for x
{{{(1/4)x + 1 = -x + 6}}}
multiply the entire equation by 4
x + 4 = -4x + 24
isolate the x alone on the left side
x + 4x + 4 - 4 = -4x + 4x + 24 - 4
5x = 20
divide both sides by 5
x = 4
Use x equals for and solve either of the original equations for y
1y + 1(4) = 6
y + 4 - 4 = 6 - 4
y = 2
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(4,2)
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{{{graph(300,200,-5,5,-5,5,(1/4)x+1,-x+6)}}}
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