All categories

2 years ago

Y=2x+5 y=3x−1 solve by subsitution

Mathematics

1 answer:

loris [4]2 years ago

5 0

Answer:

(6,17)

Step-by-step explanation:

2x+5=3x-1

-3x -3x

-x+5=-1

-5 -5

-x=-6

^divided by -1 on both sides

x=6

y=2x+5

y=(2)(6)+5

y=17

You might be interested in

Aaron is baking cookies. The recipe uses 2 cups of flour to make 30 cookies. If Aaron wants to make 40 cookies, how many cups of

Amiraneli [1.4K]

Step-by-step explanation:

30 cookies = 2 cups

1 cookie = 2/30 cups = 1/15 cups

40 cookies = 1/15 × 40 = 8/3 cups

3 0

3 years ago

Quadrilateral ABCD is translated 7 units down and 2 units to the right.

disa [49]

Answer: B.) 3 units and G.) Remain the same

Any questions please just ask. Thanks

6 0

3 years ago

For every two feet the ramp goes up it also goes 5 feet forward. If this ratio remained constant, how many feet high would the r

-Dominant- [34]

22.5x(2y/5x)=9ft
...........................

3 0

3 years ago

Help me with A and B please

g100num [7]

Part A.

Ashwin had a 4-cm cube.

volume of cube = side^3

volume = (4 cm)^3 = 64 cm^3

Ashwin has 64 small cubes.

We need to find the volumes of all prisms in Part A. Only prisms with at most 64 cm^3 volume can be the answer.

A. v = 2 * 4 * 7 = 28

B. v = 4 * 5 * 6 = 120

C. v = 5 * 5 * 4 = 100

D. v = 4 * 7 * 5 = 140

E. v = 3 * 5 * 4 = 60

Part A. answer: A, E

Part B.

Dora had a 5-cm cube.

volume of cube = side^3

volume = (5 cm)^3 = 125 cm^3

Dora has 125 small cubes.

We need to find the volumes of all prisms in Part B. Only prisms with at most 125 cm^3 volume can be the answer.

A. v = 3 * 3 * 8 = 72

B. v = 3 * 4 * 5 = 60

C. v = 6 * 6 * 4 = 144

D. v = 5 * 8 * 4 = 160

E. v = 3 * 5 * 4 = 60

Part B. answer: A, B, E

6 0

3 years ago

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

3 years ago