Question 763053
Equation 1: {{{A + B = 24}}}
Equation 2: {{{7A + 5B = 146}}}
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Solve equation 1 for one of the variables.
Equation 1: {{{A + B = 24}}}
Subtract B from both sides.
{{{A = 24 - B}}}
Now plug (24 - B) into equation 2 for A.
Equation 2: {{{7A + 5B = 146}}}
{{{7*(24 - B) + 5B = 146}}}
Multiply the 7 through.
{{{168 - 7B + 5B = 146}}}
Combine like terms.
{{{168 - 2B = 146}}}
Subtract 168 from both sides.
{{{-2B = -22}}}
Divide both sides by -2.
{{{highlight(B = 11)}}}
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Now plug 11 into equation 1 for B
{{{A = 24 - B}}}
{{{A = 24 - 11}}}
{{{highlight_green(A = 13)}}}