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Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.

1. Isolate x in the first equation: x = 7 − 3y
2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8
3. Solve for y:
14 − 6y + 4y = 8
14 − 2y = 8
−2y = −6
y = 3
4. Substitute y into either original equation: x = 7 − 3(3)
5. Write the solution as an ordered pair:

Find the solution to the system of equations x 3y 7 and 2x 4y 8 1 Isolate x in the first equation x 7 3y 2 Substitute the value for x into the second equation 2 class=

Respuesta :

facundo3141592

Answer: Hello there!

here we have two equations:

1) x + 3y = 7

2) 2x + 4y = 8

a) first we want to isolate x in the first equation:

x + 3y = 7

x = 7 -3y

done!

b) now we want to replace it in the second equation, and in this way get a equation that depends only on the variable y.

2x + 4y = 8

2(7 - 3y) + 4y = 8

c) now we sole this equation and obtain the value of y.

14 - 6y + 4y = 8

14 - 2y = 8

-2y = 8 - 14 = -6

y = 6/2 = 3

d) now we have the value of y, and we can substitute it on the equation that we got in the part a)

x = 7 - 3y

x = 7 - 3*3 = 7 - 9 = -2

e) now we knowt that x = -2 and y = 3, then the pair (x,y) can be written as:

(-2,3).

lhannearaujo

The solution to the system of equations, as an ordered pair, is (-2,3).

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives step by step of the solution for the system of linear equations. The exercise found the value of y, then you should find the value of x.

The step 4 of the question shows: x = 7 − 3(3). Therefore:

x = 7 − 3(3)

x = 7 − 9

x= -2

You can check the values found for x and y from equation 2x + 4y = 8. Therefore:

2*(-2)+4*(3)

-4+12=8

Thus, the values found for x and y are correct.

Learn more about the system of equations here:

brainly.com/question/384631

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