Question

Find the point of intersection for the pair of linear equations. A. (5.1, 2.6) B. (-3.1, 2.4) C. (3.6, 2.2) D. (-4.6, 4.1) √x+y=-0.7 y = 3x + 11.7​

Answer 1

The point of intersection for the pair of linear equations is (-5.5, -4.8)

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the point of intersection for the pair?

The pair of linear equations is given as:

x + y = 0.7

y = 3x + 11.7

Substitute y = 3x + 11.7 in x + y = 0.7

x + 3x + 11.7 = 0.7

Evaluate the like terms

2x = -11

Divide both sides by 2

x = -5.5

Substitute x = -5.5 in y = 3x + 11.7

y = 3*-5.5 + 11.7

Evaluate

y = -4.8

So, we have

x = -5.5 and y = -4.8

Express the above points as an ordered pair, to determine the point of intersection

(x, y) = (-5.5, -4.8)

Hence, the point of intersection for the pair of linear equations is (-5.5, -4.8)

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