Question 704825
Equation 1: {{{X + Y = 8}}}
Equation 2: {{{5X + 10Y = 55}}}
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Solve equation 1 for one of the variables
Equation 1: {{{X + Y = 8}}}
{{{X = 8 - Y}}}
Now plug (8 - Y) into equation 2 for X
Equation 2: {{{5X + 10Y = 55}}}
{{{5*(8 - Y) + 10Y = 55}}}
Multiply the 5 through
{{{40 - 5Y + 10Y = 55}}}
Combine like terms
{{{40 + 5Y = 55}}}
Subtract 40 from both sides
{{{5Y = 15}}}
Divide both sides by 5
{{{highlight(Y = 3)}}}
Now solve for X by using Y=3
{{{X = 8 - Y}}}
{{{X = 8 - (3)}}}
{{{highlight_green(X = 5)}}}