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Sagot :
Answer:
C
Step-by-step explanation:
Given the 2 equations
3x + 4y = 8 → (1)
y - 5x = 2 ← rewrite as
- 5x + y = 2 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
20x - 4y = - 8 → (3)
Add (1) and (3) term by term to eliminate y
23x + 0 = 0
23x = 0 , then
x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (1)
3(0) + 4y = 8
4y = 8 ( divide both sides by 4 )
y = 2
solution is (0, 2 )
That is the lines intersect once at (0, 2 )
For 3x + 4y = 8
X-intercepts: (8/3, 0
y-intercepts: (0,2)
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For y- 5x = 2
X-intercepts: (-2/5, 0)
y-intercepts: (0,2)
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Your answer is C
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To find the X-intercept, substitute in 0 for y and solve for x. To find y-intercept,substitute in 0 for x and solve y.
Hope this helps
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