3 years ago

What is the solution to the system of equations?use the linear combination method

1 answer:

galina1969 [7]3 years ago

3 0

The 2 equations are
-2x + y = -17 ---1)
3x + y = 23 ---2)
we need to have the same coefficient for one of the variables.
Already y variable has the coefficient of 1 for both equations so we can use the equations as it is.
2) - 1) subtract 1) from 2)
3x-(-2x) + y -y = 23-(-17)
5x = 40
x = 8
substituting x = 8 in the 2nd equation
3*8 + y = 23
24 + y = 23
y = -1

solution - (8,-1)

You might be interested in

Take a factor out of the square root:

Nat2105 [25]

Answer:

See below.

Step-by-step explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18 = √(2*3*3)

= √9*√2

= 3√2.

6 0

3 years ago

Make X the subject of the formula will mark brainliest!!

irga5000 [103]

Answer:

$y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }$