We can answer this question by solving each equation for one variable, and then substituting.
3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides
This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.
-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides
Now, let's set both equations equal to each other, since they both equal y.
2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5
Now, let's substitute x in for one of the equations we found earlier, so that we can find y.
y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add
So, x = 2 and y = 5.
Hope this helps!
Answer:
y = 3√(x+3) -2
Step-by-step explanation:
The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...
x = y^2
or ...
y = √x . . . . . gives the upper half of the parabola only
It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...
y = 3√(x +3) -2
_____
We have transformed the parent function using ...
y = a·f(x-h) +k
where <em>a</em> is the vertical expansion factor, <em>h</em> is the horizontal translation, and <em>k</em> is the vertical translation.
Answer:
Download photo math and Socratic
Step-by-step explanation: it works