Question

The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b). What are the values of a and b?

Answer 1

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$, respectively.

In this question we need to solve the linear equation for each point, first for $(x,y) = (b, 1)$ and later for $(x,y) = (a, b)$.

If we know that $(x,y) = (b, 1)$, then the value of $b$ is:

$6 = 30-8\cdot b$

$8\cdot b = 24$

$b = 3$

If we know that $(x,y) = (a, b)$ and $b = 3$, then the value of $a$ is:

$6\cdot b = 30 - 8\cdot a$

$18 = 30-8\cdot a$

$12 = 8\cdot a$

$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$, respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300