All categories

2 years ago

Use substitution to solve the system. y = 2x+8 -3x+2y = 13

Mathematics

1 answer:

Lisa [10]2 years ago

4 0

Step-by-step explanation:

Use substitution to solve the system.

y = 2x+8______equation1

-3x+2y = 13______equation2

sub y into equation 2

-3x+2(2x+8)=13

-3x+4x+16=13

x+16=13

x=13-16

x=-3

sub X into equation 1

y=2x+8

y=2(-3)+8

y= -6+8

y=2

x= -3 y=2

You might be interested in

Which product is modeled by the number line below?

bagirrra123 [75]

Answer:

2. (-2)(4)

Step-by-step explanation:

3 0

3 years ago

Solve the equation<br> 56 ÷ (-8)= ?

Hunter-Best [27]

Answer:

-7

Step-by-step explanation:

Because for dividing one positive and one negative number, the rule is that the answer is going to be negative. So, what you can do is just do 56÷8 which equals 7 then add the negative sign to make it -7.

3 0

2 years ago

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

7 0

2 years ago

The figure shows a triangle with an angle bisector. If angle SUT= 34°, find the measurement of angle 1?

Burka [1]

The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

$\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}$

Therefore the measurement of ∠1 is 17°.

8 0

1 year ago

639: divide 9 is can some answer my question please

k0ka [10]

639÷9=71. You can check your answer by doing 71x9=639

4 0

2 years ago

Read 2 more answers