Question

Which ordered pair is the solution to the system of linear equations -5x+y= 26 and 2x- ly= 167

Answer 1

Answer:

(-$\frac{193}{3}$ , -$\frac{914}{3}$ )

Step-by-step explanation:

We have the sysytem of linear equation:

• -5x+y= 26 (1)
• 2x- y= 167 <=> y = 2x -176 (2)

Let substitute (2) into (1) we have"

-5x + (2x-176)= 26

<=> -3x = 26+176

<=> x = -$\frac{193}{3}$

Substitute x = -$\frac{193}{3}$  into (2) we have:

y = 2(-$\frac{193}{3}$ ) -176 = -$\frac{914}{3}$

The ordered pair is the solution to the system of linear equations is (-$\frac{193}{3}$ , -$\frac{914}{3}$ )

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