Solve the following system by graphing and identify the point of intersection -5x+2y=-4 2x-y=2
2 answers:
Answer: Point of intersection (0, -2)
Step-by-step explanation:
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.
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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