2 years ago

What is the solution to the system graphed below?

Mathematics

1 answer:

iVinArrow [24]2 years ago

5 0

Answer:

(-4,-1) is the answer unless your asking for an actual equation

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$x=\frac{21}{4}$

$y=\frac{21}{2}$

Step-by-step explanation:

equation (1): $\frac{1}{2} (2x+y)=\frac{21}{2}$

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

$\frac{1}{2} (2x+y)=\frac{21}{2}$

$\frac{1}{2} (2x+2x)=\frac{21}{2}$

step2: simplify the expression:

$\frac{1}{2} (4x)=\frac{21}{2}$

$2x=\frac{21}{2}$

(divide by 2 for both sides)

$x=\frac{21}{4}$

To find the value for y sub 21/4 for x in equation 2:

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y=2×(21/4)

$y=\frac{21}{2}$

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