What is solution to the system of equations? Y=5×+2 3×=-y+10

1 answer:

4 0

Y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

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Answer:

$m=7w+4$

Step-by-step explanation:

Linear Modeling

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

$\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)$

Let's plug in our values

$\displaystyle m-11=\frac{25-11}{3-1}(w-1)$

Simplifying:

$m-11=7w-7$

$\boxed{m=7w+4}$

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