Answer:
x = -2
y=-3
(-2,-3)
Step-by-step explanation:
Both equations are equal to y
We can set them equal to each other
y = 3x + 3
y = x − 1
3x+3 = x-1
Subtract x from each side
3x+3 -x = x-1-x
2x+3 = -1
Subtract 3 from each side
2x+3-3 = -1-3
2x = -4
Divide each side by 2
2x/2 = -4/2
x = -2
Now we need to find y
y = x-1
y = -2-1
y = -3
y = x-1
Answer:
D. Rewrite one side (or both) using the distributive property, Yes
Step-by-step explanation:
How can we get Equation BBB from Equation AAA? Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Answer:
x = -2
Step-by-step explanation:
For this problem, we must simply solve for x. To do this, we will need equation operations, and the use of the distributive property.
Let's work this line by line until we have the value for x:
3{-x + (2x + 1)} = x - 1
3*-x + 3*(2x + 1) = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:
3{-x + (2x + 1)} = x - 1
3{-(-2) + (2(-2) + 1)} ?= (-2) - 1
3{2 + (-4 + 1)} ?= -3
3{2 + (-3)} ?= -3
3{-1} ?= -3
-3 == -3
Thus, we have found the solution for x to be equivalent to negative 2.
Cheers.
