All categories

2 years ago

!SUBSTITUTION METHOD!6y - 5z = -8 3z = -6 4x - 3y - 2z= 21

Mathematics

1 answer:

hichkok12 [17]2 years ago

3 0

Answer:

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

So the solutions are

Hope this helps you

You might be interested in

For each of the following quadrilaterals, Select all the properties that must be true.

OleMash [197]

Answer:

1) two pairs of parallel sides

2) four right angles and all sides congruent

3) all sides congruent

Step-by-step explanation:

8 0

2 years ago

Write three measurments using grams and three measurements using milligrams total 15.4 grams

luda_lava [24]

2+3+10 g +1+1+2mg =15.4 grams

5 0

2 years ago

You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

8 0

2 years ago

Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CP

Maksim231197 [3]

Answer:

Step-by-step explanation:

5 0

2 years ago

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 390 feet of antiqu

Ksenya-84 [330]

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

390 = 2(L) + 2(2/3)(L)

1170 = 6L + 4L

1170 = 10L

117 = L

width (w): (2/3)L = (2/3)(117) = 2(39) = 78

Answer: width = 78 ft, length = 117 ft

3 0

2 years ago

!SUBSTITUTION METHOD!6y - 5z = -8 3z = -6 4x - 3y - 2z= 21​

!SUBSTITUTION METHOD!6y - 5z = -8 3z = -6 4x - 3y - 2z= 21