Question

The lines of y = 4x - 10 and y = 7x + 11 intersect at which point

Answer 1

Answer:

(-7, -38)

Step-by-step explanation:

Just equate two equations

Answer 2

The intersection will be at -7 and -38.

Given - Equation

To find - Intersection point

Solution - To find the intersection point, we will first perform subtraction to find value of one variable.

$\: \: \: \: \: y = 7x + 11$

$\: \: ( -) y = 4x - 10$

Performing subtraction

$0 = 3x + 21$

$3x = -21$

$x = \frac{-21}{3}$

x = -7

So, value of y.

$y = 7 \times -7 + 11$

$y = -49 + 11$

$y = -38$

Hence, the intersecting point is -7 and -38.