Equation 1) 2x - 3y = -1
Equation 2) y = x - 1
We want both equations to be in standard form (Ax+By=C) so we need to fix the second equation.
For the second equation, simply subtract x from both sides, so that x & y are on the same side of the equal sign :)
2) -x + y = -1
1) 2x - 3y = -1
Now, we have to multiply ALL of equation 2 by 2 so that both equations 1 & 2 have "2x" in them :)
2) 2(-x + y = -1)
Simplify.
2) -2x + 2y = -2
1) 2x - 3y = -1
Now, add these equations together.
-y = -3
Divide both sides by -1.
y = 3
Now, plug in 3 for y in the first equation.
1) 2x - 3y = -1
2x - 3(3) = -1
Simplify.
2x - 9 = -1
Then, add 9 to both sides.
2x = -1 + 9
Simplify.
2x = 8
Divide both sides by 2.
x = 4
So, x = 4 & y = 3
~Hope I helped!~
Answer:
Step-by-step explanation:
a + b = 331 (million)
b = 25 (million)
a + 25 = 331
a = 331 - 25
a = 306 (million).......singer a took in 306 million
Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
Answer: These are called rigid transformations because the structure and shape of the shape remains the same.
Step-by-step explanation: The word rigid and rigidity is often used to describe something that is tough or the strength of something. The transformations might be called a rigid transformation because the rigidity of the shape remains the same because the size is the exact same, it is the exact same shape it is just moved.