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BabaBlast [244]
1 year ago
12

Solve the following system by graphing and identify the point of intersection -5x+2y=-4 2x-y=2

Mathematics
2 answers:
FrozenT [24]1 year ago
8 0

Answer: Point of intersection (0, -2)

Step-by-step explanation:

guajiro [1.7K]1 year ago
8 0

Answer:

S =  (0, -2)

Step-by-step explanation:

Convert both standard form equations to slope-intercept form.

-5x+2y=-4 ⇒ y = 5/2(Decimal form: 2.5)x - 2

2x-y=2 ⇒ y = 2x - 2

Given:

⇒ L1 = y = 5/2x - 2

⇒ L2 = y = 2x - 2

The intersection is point:

⇒ S = (0, -2)

Steps:

To find intersection point we need to solve the following system of equations.

  • y = 5/2x - 2
  • y = 2x-2

STEP 1: Solve for x

5/2x - 2 = 2x - 2

5/2x - 2x = -2 + 2

1/2x = 0

x = 0

STEP 2:  Solve for y by substituting x = 0 into  first equation.

y = 5/2 * 0 - 2 = 0 - 2 = -2

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