All categories

3 years ago

Solve the system of equations. 3x + 2y = 56 5x-2y =24

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Step-by-step explanation:

PRIMERO encuentras x

3x + 2y = 56

8x = 80

x = 80/ 8 = 10

LUEGO PARA ENCONTRAR y TOMAS cualquiera de las dos DE LAS

ECUACIONES Y SUSTITUYES x

3(10) + 2y = 56

30 + 2y = 56

y = 56 - 30/2 = 13

You might be interested in

Find the distance between the given points (2,8) and (7,7)

Ray Of Light [21]

Answer:

$d=\sqrt{26}\approx5.0990$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

$d=\sqrt{(7-2)^2+(7-8)^2}$

Simplify:

$d=\sqrt{5^2+(-1)^2}$

Square:

$d=\sqrt{25+1}$

Add:

$d=\sqrt{26}\approx5.0990$

And that's our answer :)

6 0

4 years ago

Match the reasons with the statements in the proof.

notsponge [240]

Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution

5 0

3 years ago

Read 2 more answers

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Elena L [17]

Answer:

x = 26

Step-by-step explanation:

Given

$\frac{1}{3}$ (x - 2) = $\frac{1}{5}$ (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

3 0

3 years ago

a taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. what will the driver's total earnings for t

Paladinen [302]

$24.50 - $6.75 = $17.75

4 0

4 years ago

Read 2 more answers

I need help on this question

sasho [114]

Answer:

The shape is a kite and x=26

Step-by-step explanation:

The shape is a kite because the two adjacent sides at the right match and the two sides on the left match

To find x:

125+125=250

360-250=110

(3x-11)+(2x-9)=110

Combine like terms: 5x-20=110

Add 20 to both sides: 5x-20+20=110+20

5x=130

Divide both sides by 5: 5x/5=130/5

x=26

7 0

3 years ago