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3 years ago

Please help me. question is "solve each system of linear equations by substitution"

Mathematics

1 answer:

tigry1 [53]3 years ago

3 0

Answer:

(-9,-7)

Step-by-step explanation:

Since x = 2y+5,

substitute that into the other equation. Then you have

3(2y+5)-5y = 8

6y+15-5y = 8

y = -7

so, x = 2(-7)+5 = -9

You might be interested in

The value of a probability must be in the interval [0, 1] True False

Zanzabum

Answer:

True.

Step-by-step explanation:

[0, 1] means all numbers in between 0 and 1, 0 and 1 included.

A probability is always a number in that interval. For example: 0.384, 0.222, 0.938, etc!

4 0

2 years ago

Read 2 more answers

An isosceles triangle has base angles that each measure 48°. Which equation can be used to find x, the measure of the third angl

Colt1911 [192]

Answer:

180-48/2

Step-by-step explanation:

180-48=

5 0

2 years ago

Billy has 2.4 m of ribbon for crafts. He wants to share it evenly with 12 friends. Billy has been making craft projects for seve

Triss [41]

Answer:

140 cm

Step-by-step explanation:

Given that:

Total length of ribbon present with Billy = 2.4 m

This ribbon is to be shared with 12 friends evenly.

Billy is doing this work of making craft for the past many years.

To find:

How many centimeters of ribbon that 7 friends will get?

Solution:

First of all, let us find out what length of ribbon will each person get.

Length of ribbon to be shared with each person = Total length of ribbon divided by total number of persons

Length of ribbon to be shared with each person = $\frac{2.4}{12} = 0.2\ m$

Now, The length of ribbon that 7 friends will get = 7 $\times$ 0.2 = 1.4 m

1 m = 100 cm

1.4 m = 1.4 $\times$ 100 cm = 140 cm

8 0

2 years ago

A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet pe

liq [111]

Answer:

(2P + G) feet/min

Step-by-step explanation:

Speed of the panda = P

Speed of the giraffe = P + G

Thus,

Speed of Panda + Speed of Giraffe = approaching time

= P + P + G

= 2P + G

Thus, The panda and the giraffe are approaching each other at a rate

of (2P + G) ft/min

Hope it helps :)

6 0

2 years ago

Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

8 0

1 year ago