2 years ago

Y=4x+1, 2x+y=37 substitution

Mathematics

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

x = 6 and y = 25 → (6, 25)

Step-by-step explanation:

Substitute y = 4x + 1 to the equation 2x + y = 37:

2x + (4x + 1) = 37

(2x + 4x) + 1 = 37 subtract 1 from both sides

6x = 36 divide both sides by 6

x = 6

Pyt the value of x to the first equation:

y = 4(6) + 1

y = 24 + 1

y = 25

You might be interested in

Find the Domain of the following exponential and logarithmic equations and solve them:

kakasveta [241]

The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < x < 1 or x > 1.

$\log_{\frac1x}243=5$

Write both sides as powers of 1/x :

$\left(\dfrac1x\right)^{\log_{\frac1x}243}=\left(\dfrac1x\right)^5$

Recall that $a^{\log_ab}=b$ , so that

$243=\left(\dfrac1x\right)^5$

$243=\dfrac1{x^5}$

$x^5=\dfrac1{243}$

Take the 5th root of both sides, recalling that 3⁵ = 243, so

$x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}$

5 0

2 years ago

Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?

inn [45]

Answer:

Keith can plant 10 bushes in 2 hours

Step-by-step explanation:

40 divided by 8 is 5 and 5 times 2 is 10.

4 0

2 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 229

alukav5142 [94]

Answer:

114, and 115

Step-by-step explanation:

114+115 = 229

6 0

2 years ago

Read 2 more answers

4a + 3a Please solve I will give brainliest to first answer!

lubasha [3.4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write 16.985 0.006 and 0.238 in word form

alexgriva [62]

sixteen and nine hundred eighty-five hundredths
six-thousandths
two hundred thirty-eight hundredths

7 0

2 years ago