Question

PLEASE HELP! Solve the equation for y. Then find the value of y for each value of x.

y + 5x = 8; x = – 1, 0, 4

1. RobertKer
The given equation y + 5x = 8, on solving for y by isolating comes to y = 8 – 5x.
The values of y for given values of x are,
x = -1 gives y = 13,
x = 0 gives y = 8, and
x = 4, gives y = -12.
In the question, we are asked to solve the given equation, y + 5x = 8, for y.
To solve for y, we isolate y, by subtracting 5x from both sides of the equation as follows:
y + 5x = 8,
or, y + 5x – 5x = 8 – 5x,
or, y = 8 – 5x.
Now, we are asked to find the value of y for each given value of x.
To find the value of y, we substitute each value of x and simplify the equation.
1. x = -1:
y = 8 – 5x,
or, y = 8 – 5(-1),
or, y = 8 + 5,
or, y = 13.
2. x = 0:
y = 8 – 5x,
or, y = 8 – 5(0),
or, y = 8 – 0,
or, y = 8.
3. x = 4:
y = 8 – 5x,
or, y = 8 – 5(4),
or, y = 8 – 20,
or, y = -12.
Thus, the given equation y + 5x = 8, on solving for y by isolating comes to y = 8 – 5x.
The values of y for given values of x are,
x = -1 gives y = 13,
x = 0 gives y = 8, and
x = 4, gives y = -12.