All categories

3 years ago

Solve the system of equations by substitution

Mathematics

1 answer:

scoundrel [369]3 years ago

7 0

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )

You might be interested in

What is the rate of change?<br>Jose has $6 and saves $1 a day.

Len [333]

Answer:

The rate of change is 1$

Step-by-step explanation:

Jose is getting one dollar a day (the only thing in the equation that is changing)

8 0

3 years ago

The function y = -x - 1 and y = ½x + k intersect at the point (-2,1). Find the value of k.

horrorfan [7]

Answer:

k = 2

Step-by-step explanation:

Fill in the given point values and solve for k.

y = (1/2)x + k

1 = (1/2)(-2) +k . . . . . . for x = -2, y = 1

1 = -1 +k . . . . simplify; next, add 1

2 = k

5 0

4 years ago

3(x-5)=6 What is the answer?

seraphim [82]

Step-by-step explanation:

3(x - 5) = 6

x - 5 = 2 (divide 3 on both sides)

x = 7 (add 5 on both sides)

The solution is x = 7.

8 0

3 years ago

Read 2 more answers

Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet. Which integer represents

nadezda [96]

Answer:

-24

Step-by-step explanation:

4 feet above sea level is +4

she descends 28 feet that is -28

-28 + 4 = -24

7 0

3 years ago

Read 2 more answers

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.

abruzzese [7]

<span>Triangle ABC being similar to triangle LMN by the AA similarlity postulate means that m<A = m<L; m<B = m<M; m<C = m<N. Let m<M = x, then 81 + x + 2x = 180; 3x = 180 - 81 = 99. x = 99 / 3 = 33. Therefore, m<M = 33 degrees.Hope this helps. Let me know if you need additional help!</span>

4 0

3 years ago