For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?

Mathematics

1 answer:

inna [77]3 years ago

5 0

Answer:

a = -3/2

Step-by-step explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

first equation: y-intercept = -3/2

second equation: y-intercept = a

To make these equal, we must have ...

a = -3/2

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Answer:

Choice D

Step-by-step explanation:

Several techniques do exist for solving systems of linear equations; substitution method, graphical method and elimination method. For this scenario, since we are not restricted on the method, I opted to use the graphical technique.

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The attachment below shows that the system intersects at the point (-3, 26). Therefore, the system has a single solution: x = -3, y = 26.