How to solve 3x+y=-14;-2x-y=9

Mathematics

2 answers:

Arada [10]3 years ago

8 0

This is a set of simultaneous equations.
3x+y=-14
-2x-y=9
Use elimination by addition
x=-5
the substitute for y
y=1

RUDIKE [14]3 years ago

5 0

3x+y=-14
-2x-y=9
++++++++++++
x=-5
y=1

You might be interested in

What is the equation of (0,2) and (3,0)

ivolga24 [154]

Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.

For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.

We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2

The equation of our line is $\boxed{y = -\frac{2}{3}x + 2}$ .

8 0

3 years ago

Which expression has exactly three terms? Select all the expressions that apply.

irga5000 [103]

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

G has 3 unique terms, x³, x^4, and 7x, so this is correct.

When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.

I hope this helps!