Answer:
x = -1
y = 0
Step-by-step explanation:
to solve the equation by substitution in order to evaluate for x and y
let
6x-2y=-6 ................................................ equation 1
-2x-3y=2 .................................................. equation2
from equation 2
-2x-3y=2 .................................................. equation2
-2x -2 = 3y
divide both sides by 3
(-2x -2)/3 = y
y = (-2x -2)/3 ................................... equation3
substitute y = (-2x -2)/3 into equation 1
6x-2y=-6 ................................................ equation 1
6x - 2[ (-2x -2)/3] = -6
6x + (4x + 4)/ 3 = -6
multiply through by 3
18x + 4x + 4 = -18
22x = -18-4
22x = -22
divide both sides by the coefficient of x which is 22
22x/22 = -22/22
x = -1
substitute for x in equation 3
y = (-2x -2)/3 ................................... equation3
y = -2(-1) - 2/3
y = 2 -2/3
y = 0/3
y = 0
therefore the value of x and y is -1 and 0 respectively
7x + 5 = -58
+ 5 represents 5 more than
7x represents 7 times a number
It changes it into negative
In this problem, the shape of the sail is equilateral
triangle. You are given that the measurement of each side is x – 10 units. The perimeter
is 63 units. You have to formulate an equation to find the value of x. The
formula of the perimeter is to get the sum of the measurements of the three
sides of the triangle.
x – 10 + x – 10 + x – 10 = 63
3x – 30 = 63
3x = 63 + 30
3x = 93
x = 31
Therefore, the value of x is 31 and the measurement of each
sides is 21 units.