Question 298391
Set-Up:
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Equation 1: {{{3X + Y = 2}}}
Equation 2: {{{2X - 5Y = 24}}}
Solution:
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Solve equation 1 for Y
Equation 1: {{{3X + Y = 2}}}
{{{Y = 2 - 3X}}}
Now substitute (2 - 3X) into quation 2 for Y
Equation 2: {{{2X - 5Y = 24}}}
{{{2X - 5*(2 - 3X) = 24}}} Simplify
{{{2X - 10 + 15X = 24}}} Simplify
{{{17X - 10 = 24}}} Add 10 to both sides
{{{17X  = 34}}} Divide both sides by 17
{{{highlight(X = 2)}}}
Now plux 2 into equation 1 for X
{{{Y = 2 - 3X}}}
{{{Y = 2 - 6}}}
{{{highlight(Y = -4)}}}