All categories

2 years ago

Solve each system by elimination 7x + 8y = -29 -3x -8y = 17

1 answer:

3 0

4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1

You might be interested in

Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos(2x) = cos2(x) − sin2(x) Rewrite 2x as x +

andre [41]

Answer with Step-by-step explanation:

We are given that

LHS

$cos 2x$

To prove that

$cos 2x=cos^2x-sin^2 x$

$cos(x+x)$

We know that

$cos(x+y)=cos xcosy-sinx siny$

Using the formula

$cos(x+x)=cosx\cdot cosx-sinx\cdot sinx$

$cos2 x=cos^2 x-sin^2 x$

By using

$cosx\cdot cosx=cos^2 x$

$sinx\cdot sinx=sin^2 x$

LHS=RHS

Hence, proved.

3 0

3 years ago

44.64 divided by 48

Alik [6]

Answer:

0.93

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint

Vikki [24]

Answer:

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

The number is $x= \frac{1}{3}$

The price is $P = \$ 8$

Step-by-step explanation:

From the question we are told that

The ratio of the number of cups of blue paint to the number of cups of red paint is $r = 3: 1$

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that 1 cup of red paint => 3 cups of blue paint

x cup of red paint => 1 cup of blue paint

$x= \frac{1 * 1}{3}$

=> $x= \frac{1}{3}$

Generally the unit price of a cup of blue paint is mathematically represented as

$P = \frac{48}{6}$

=> $P = \$ 8$

4 0

3 years ago

What is two thirds x plus three fiths equal thirteen fiths:<br> 2/3x + 3/5=13/5

zepelin [54]

-3/5 to get 10 then divide 10 by 2/3.

6 0

3 years ago

Determine the solution set of each equation

maks197457 [2]

A=x1 = -8,x2 =2, B=x1= -5,x2=5, C=y1 = -4, y2 =5, D=y 18 over 5

alternative form

y=3 3over 5, =3.6

And E=x1=0, x2 =2 over 3

Alternative form

x1=0, x2=0.666667.

question A

Solving steps:Solve the quadratic equation

x²+6x-16=0

write 6x as a difference

x2 +8x-2x-16=0

factor out x for the expression

xx(x+8)-2x-16=0

factor out -2 from the expression

xx(x+8)- 2(x+8)=0

factor out x+8 from the expression

(x+8)x(x- 2)=0

when the product of factors equals 0,at least one factor is 0

x+8=0

x - 2=0

solve the equation for x

x= -8

x - 2=0

solve the equation for x

x= -8

x =2

the equation has 2 solution

x1 = -8,X2 =2

answer is

x1 = -8,x2 =2

Solving steps:Number of solution

x²+6x-16=0

Determine the number of solution using the

discriminant D =b²- 4ac

D =6²- 4x1x(-16)

simply the expression

D=100

Since D>0, the quadratic equation has 2 real solution

2 real solution

Answer is

2 real solution

Question B

Solving steps:Solve the quadratic equation

x²-25=0

Move the constant to the right-hand side and change its sign

x²=25

Take the square root of both sides of the equation and remember to use both positive and negative roots

x=+5

Write the solutions,one with a +sign and one with a -sign

x= -5

x=5

The equation has 2 solutions

x1= -5,x2=5

the answer is

x1= -5,x2=5

Solving steps:Number of solution

x²-25=0

Determine the number of solutions using the discriminant D=b²- 4ac

D=0²- 4x1x(-25)

Simply the expression

D=100

Since D>0,the quadratic equation has 2real solutions

Answer is

2real solutions

answer of question C is

y1 = -4, y2 =5

Answer of question D is

y 18 over 5

alternative form

y=3 3over 5, =3.6

Answer of question E is

x1=0, x2 =2 over 3

Alternative form

x1=0, x2=0.666667

Please mark as brainiest

3 0

4 years ago

Read 2 more answers