Solve the equation for y. Then find the value of y for each value of x. 3x-7y=19;x=-1,0,1
When x,=-1 the value of y is
Substitute x = -1 into the equation:
3(-1) - 7y = 19
-3 - 7y = 19
-7y = 19 + 3
-7y = 22
y = 22/-7
y = -22/7 or approximately -3.14
To find the value of y when x = -1, we can substitute x = -1 into the equation and solve for y.
3x - 7y = 19
Substituting x = -1:
3(-1) - 7y = 19
-3 - 7y = 19
To solve for y, we need to isolate the variable y. Let's start by moving -3 to the other side of the equation:
-7y = 19 + 3
-7y = 22
To isolate y, we divide both sides of the equation by -7:
y = 22 / -7
Simplifying the fraction:
y = -22/7
When x = -1, the value of y is -22/7.
To solve the equation for y, we will substitute the given value of x into the equation and then solve for y.
Given equation: 3x - 7y = 19
When x = -1:
3(-1) - 7y = 19
-3 - 7y = 19
To solve this equation for y, we will isolate y on one side of the equation.
Step 1: Move -3 to the other side by adding 3 to both sides of the equation.
-7y = 19 + 3
-7y = 22
Step 2: Solve for y by dividing both sides of the equation by -7.
y = 22 / -7
y = -3.14 (rounded to two decimal places)
So, when x = -1, the value of y is approximately -3.14.
Now, let's find the values of y for x = 0 and x = 1 as well.
When x = 0:
3(0) - 7y = 19
-7y = 19
y = 19 / -7
y = -2.71 (rounded to two decimal places)
When x = 1:
3(1) - 7y = 19
3 - 7y = 19
-7y = 19 - 3
-7y = 16
y = 16 / -7
y = -2.29 (rounded to two decimal places)
So, when x = 0, the value of y is approximately -2.71, and when x = 1, the value of y is approximately -2.29.