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!~
The answer is D as it can be rewritten as -((y^2)/5)-(8/5)=x. Solving for the x-intercepts you get -((y^2)/5)-(8/5) = 0 as you want to find the y values when x is zero. Solving for y you get: (y^2)/5)+(8/5) = 0 => (y^2)/5)=-(8/5) => y^2=-8 => y = plus or minus sqrt(-8). The first problem is that you have 2 x intercepts which already makes it not a function and second sqrt(-8) is an imaginary number making the solution not a real number.
Answer:
A
Step-by-step explanation:
Point A:
The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:
<u>2. (x,y) → (x+7,-y)</u>
Answer:
(x-5) (x-3)
Step-by-step explanation:
x^2 -8x +15
We want to know what numbers multiply to 15 and add to -8
-5 *-3 = 15
-5+-3 = -8
(x-5) (x-3)
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