<span>Multiply one of the equations so that both equations share a common complementary coefficient.
In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
You can multiply the 1st equation by -2/5 to allow cancelling the a term.
You can multiply the 1st equation by 5/3 to allow cancelling the b term.
You can multiply the 2nd equation by -2.5 to allow cancelling the a term.
You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that.
5a + 3b = –9
2a – 5b = –16
5*(5a + 3b = -9) = 25a + 15b = -45
3*(2a - 5b = -16) = 6a - 15b = -48
Then add the equations
25a + 15b = -45
6a - 15b = -48
=
31a = -93
a = -3
And then plug in the discovered value of a into one of the original equations and solve for b.</span>
Answer:
The equation has infinitely many solutions for any value of P and Q such that P=Q.
Step-by-step explanation:
Px - 37 = Qx - 37
Px - Qx - 37 = -37
x (P-Q) = 0
==> P-Q=0 ==> P=Q
Answer:
The location of the point is between Quadrant II and Quadrant III
Step-by-step explanation:
we know that
The abscissa refers to the x-axis and ordinate refers to the y-axis
so
in this problem we have
the coordinates of the point are 
see the attached figure to better understand the problem
The location of the point is between Quadrant II and Quadrant III
Answer:
Step-by-step explanation:
Pattern 1 consists of
small squares (here n = 1 and 
).
Pattern 2 consists of
small squares (here n = 2 and 
).
Pattern 3 consists of
small squares (here n = 3 and 
).
Thus, pattern n consists of
small squares.
Answer:
f(-2)=-2
Step-by-step explanation:
we know that
x -----> is the independent variable or input value
f(x) ---> is the dependent variable or output value
f(-2) is the value of the function f(x) when the value of x is equal to -2
so
For x=-2
Looking at the graph
f(-2)=-2
For an input value of -2 the output value is -2
