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3 years ago

3x+y=7 6x+4y=22 can somebody help me solve this problem?

1 answer:

swat323 years ago

5 0

Hey there!

$\boxed{x=1;y=4}$

$3x + y = 7 \\ \\ 
 6x + 4y = 22$

$y = -3x + 7 \\ \\ Plug \ this \ in \ for \ variable \ (y) \ in \ equation \ \\ \\ 

 6x + 4*(-3x+7) = 22 \\ \\ 
 -6x = -6 \\ \\ 6x=6 \ x+1 \\ \\ x=1 \ y=-3x+7 \\ \\ \boxed{y=-3(1)+7=4} \\ \\ \boxed{\boxed{x=1;y=4}}$

I hope this helps you!

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Step-by-step explanation:

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In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

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This is true for any two points on the line.

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*When you move up, the number will be positive $(\frac{+y}{x} )$ . If you move down, the number will be negative $(\frac{-y}{x} )$ . If you move left, the number will be positive $(\frac{y}{+x})$ . If you move right, the number will be negative $(\frac{y}{-x} )$ . Keep this in mind. It is very important.

**Always <em>move along the y-axis first</em>, then move along the x-axis. If you do it the other way, the slope will be wrong.

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