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OLEGan [10]
3 years ago
12

The tables represent two linear functions in a system,

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

First table:

(-4, 26), (0, 10) → b = 10

m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4

\boxed{y=-4x+10}

Second table:

(-4, 14), (0, 2) → b = 2

m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3

\boxed{y=-3x+2}

We have the system of equations:

\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22

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