Math

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Maggie Maggie
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Math

Solve this system by graphing, then find an exact answer using substitution or elimination.

{2𝑦 = −𝑥 + 12

{𝑥 =1/2𝑦 + 2
AlgebraHouse AlgebraHouse
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Re: Math

Use the graphing calculator found here



2y = -x + 12
x = 0.5y + 2

2y = -(0.5y + 2) + 12   {substituted 0.5y + 2, in for x, into top equation}
2y = -0.5y - 2 + 12   {used distributive property}
2.5y = 10   {added 0.5y to each side and combined like terms}
y = 4   {divided each side by 2.5}

x = 0.5y + 2   {bottom original equation}
x = 0.5(4) + 2   {substituted 4, in for y, into bottom original equation}
x = 2 + 2   {multiplied}
x = 4   {added}

x = 4 and y = 4

- Algebra House