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3 years ago

Given this system of equations, which method would you use to solve? Y=x+5 / 3x-2y=10

Mathematics

1 answer:

vazorg [7]3 years ago

4 0

Answer:

x = 20

y= 25

Step-by-step explanation:

to evaluate this system of equation using substitution method , we would say that let

Y=x+5 ............................................................equation 1

3x-2y=10........................................................ equation 2

substitute for eqution 1 into equation 2

3x - 2y = 10

3x -2(x + 5) = 10

3x -2x -10 = 10

collect the like terms

3x - 2x = 10 + 10

x = 20

put the value of x = 20 into equation 1

Y=x+5 ............................................................equation 1

y = 20 + 5

y = 25

therefore the value of x and y are 20 and 25 respectively

You might be interested in

Substitute this equation x+3y=18 & -x-4y=-25

sveticcg [70]

Answer:

{x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

[1] x + 3y = -18

[2] -x + 4y = -25

Graphic Representation of the Equations :

3y + x = -18 4y - x = -25

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = -3y - 18

// Plug this in for variable x in equation [2]

[2] -(-3y-18) + 4y = -25

[2] 7y = -43

// Solve equation [2] for the variable y

[2] 7y = - 43

[2] y = - 43/7

// By now we know this much :

x = -3y-18

y = -43/7

// Use the y value to solve for x

x = -3(-43/7)-18 = 3/7

Solution :

{x,y} = {3/7,-43/7}

5 0

3 years ago

Can someone plz help me wit dis plz

Hatshy [7]

Divide the area by the number in the triangle

4 0

3 years ago

Read 2 more answers

720 seconds ( 1hour/60minutes)=12 hours

Vilka [71]

What's the question here?

6 0

3 years ago

For second answer how do you get it plz urgent plz

inna [77]

Step-by-step explanation:

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

\frac{AB}{BC} = \frac{AE}{ED}BCAB=EDAE

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

ED = \frac{AE * BC}{AB}ED=ABAE∗BC

Let's substitute figures,

ED = \frac{26 * 5}{20}ED=2026∗5

ED = \frac{130}{20} = 6.5ED=20130=6.5

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

\frac{AB}{AC} = \frac{BE}{CD}ACAB=CDBE

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

BE = \frac{AB * CD}{AC}BE=ACAB∗CD

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

BE = \frac{20 * 18}{25}BE=2520∗18

BE = \frac{360}{25} = 14.4BE=25360=14.4

Therefore, length Of BE is 14.4cm

I JUST SO THAT IN INTERNET:)

4 0

3 years ago

Question 3 of 10 A Assume EFG = JKL. If mLJ = 90°, mL K = 26°, and m< L = 64°, what is the measure of < E?

kumpel [21]

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

Learn more about congruent;

brainly.com/question/10586347

#SPJ1

4 0

2 years ago