The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combin

Question

3 years ago

9

e like terms: Apply the subtraction property of equality: Apply the division property of equality:

1 answer:

svp [43] · Answer 1 · 2022-04-23T06:19:23+03:00

Answer:

X = 1

Step-by-step explanation:

To solve the system of equation by susbtitution:

3x + y = 9

y = –4x + 10

We can follow the steps thus:

<em />

<em>Substitute the value of y in the first equation:</em>

As in the second equation y = -4x + 10 we can substitute in the first equation as follows:

3x + y = 9

3x + -4x + 10 = 9

<em>Combine like terms: </em>

3x + -4x + 10 = 9

Like therms are the therms with X (3x - 4x = -1x):

-1x + 10 = 9

<em>Apply the subtraction property of equality: </em>

-1x + 10 = 9

As 10 is suming, it passes to subtracting the 9:

-1x = 9 - 10

-1x = -1

<em>Apply the division property of equality:</em>

-1x = -1

Dividing in -1:

x = -1 / -1