craftykarla52
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Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth 5x+2y=7 -2x+6y=9 is it (0.7,1.7)??

Answer :

texaschic101
5x + 2y = 7....multiply by 2
-2x + 6y = 9 ....multiply by 5
---------------
10x + 4y = 14 (result of multiplying by 2)
-10x + 30y = 45 (result of multiplying by 5)
--------------add
34y = 59
y = 59/34 = 1.7 <===

The solution to the system of equations is (0.7, 1.7)

The given system of equations is:

5x  +   2y   =   7............(1)

-2x  +  6y   =  9...............(2)

Multiply equation (1) by 2

10x   +  4y   =   14...........(3)

Multiply equation (2) by 5

-10x  +  30y   =   45..........(4)

Add equations (3) and (4)

34y   =   59

y   =  59/34

y   =  1.7 (to the nearest tenth)

Substitute y = 1.7 into equation (1)

5x  +  2y  =  7

5x   +  2(1.7)  =  7

5x  +  3.4   =  7

5x   =  7  -  3.4

5x   =   3.6

x    =   3.6 / 5

x    =  0.7

The solution to the system of equations is (0.7, 1.7)

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