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Arlecino [84]
3 years ago
12

What is the solution to this system of equation? x=2y-4 7x+5y= -66

Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

Step-by-step explanation:

oh gosh

im sorry but idk how to solve that, mabye if i say you are smart you will be motivated?

Agata [3.3K]3 years ago
6 0

Answer:

x=-8 y=-2

Step-by-step explanation:

substitute x for 2y-4

7(2y-4)+5y=-66

factor

14y-28+5y=-66

add 28 on both sides

14y+5y=-38

19y=-38

divide by 19 on both sides

y=-(38/19)

y=-2

Plug -2 into the first equation for y

x=2(-2)-4

x=-4-4

x=-8

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The equations of the lines l1 with points (-2, 5), and (-1, -10) and the line l2 with points (5, 15), and (3, 8), gives the coordinate of the intersection between the lines as the point; (-45/37, -250/37)

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The slope, m1, of line 1 l1 is found as follows;

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The equation of line l1 in point and slope form is therefore;

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The slope, m2, of line 2 l2 is found as follows;

m2 = (15 - 8)/(5 - 3) = 3.5

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y2 - 15 = 3.5•(x - 5)

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At the intersection point, we have;

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Therefore;

-15•x - 25 = 3.5•x - 2.5

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y2 = 3.5•x - 2.5

At the intersection point, we have;

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The coordinates of the intersection between the lines is therefore;

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