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Ira Lisetskai [31]
3 years ago
11

What is the solution to the system of equations?

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

(6,-8)

sammy [17]3 years ago
3 0

Answer : The solution to the system of equations is, (6, -8)

Step-by-step explanation :

As we are given the two equations:

y=\frac{1}{3}x-10     ............(1)

2x+y=4    ..........(2)

Now put equation 1 in equation 2, we get:

2x+y=4

2x+(\frac{1}{3}x-10)=4

2x+\frac{1}{3}x-10=4

\frac{7}{3}x-10=4

\frac{7}{3}x=4+10

\frac{7}{3}x=14

x=14\times \frac{3}{7}

x=6

Now put the value of 'x' in equation 1, we get:

y=\frac{1}{3}x-10

y=(\frac{1}{3}\times 6)-10

y=2-10

y=-8

Thus, the solution to the system of equations is, (6, -8)

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