Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which equation has the solution
x=3 ?
1
1
3
4

3x+2=11

5x+1=10

2x-5=15

4x-3=12

Which equation has the solution $x=3$ ? $\newline$ $1$ $\newline$ $1$ $\newline$ $3$ $\newline$ $4$ $\newline$ $3 x+2=11$ $\newline$ $5 x+1=10$ $\newline$ $2 x-5=15$ $\newline$ $4 x-3=12$

View step-by-step help

View step-by-step help

Solve a system of equations in three variables using elimination

Full solution

Q. Which equation has the solution

x=3

?

\newline

1

\newline

1

\newline

3

\newline

4

\newline

3 x+2=11

\newline

5 x+1=10

\newline

2 x-5=15

\newline

4 x-3=12

Plug $x=3$ : Plug $x=3$ into the first equation $3x+2=11$ . $\newline$ $3(3) + 2 = 11$ $\newline$ $9 + 2 = 11$ $\newline$ $11 = 11$
Equation $1$ : Plug $x=3$ into the second equation $5x+1=10$ . $\newline$ $5(3) + 1 = 10$ $\newline$ $15 + 1 = 16$ $\newline$ $16 \neq 10$
Equation $2$ : Plug $x=3$ into the third equation $2x-5=15$ . $\newline$ $2(3) - 5 = 15$ $\newline$ $6 - 5 = 1$ $\newline$ $1 \neq 15$
Equation $3$ : Plug $x=3$ into the fourth equation $4x-3=12$ . $\newline$ $4(3) - 3 = 12$ $\newline$ $12 - 3 = 9$ $\newline$ $9 \neq 12$

More problems from Solve a system of equations in three variables using elimination

Question

Solve using substitution.

5x - 2y = -7

x = -5

Posted 3 months ago

Question

(1,1)

a solution to this system of equations?

\newline

4x + 10y = 14

\newline

x + 6y = 7

\newline

\newline

\newline

Posted 3 months ago

Question

Which describes the system of equations below?

\newline

y = –3x + 9

\newline

y = –3x + 9

\newline

\newline

\text{(A) consistent and independent}

\newline

\text{(B) consistent and dependent}

\newline

\text{(C) inconsistent}

Posted 3 months ago

Question

Solve using elimination.

\newline

7x - 8y = -17

\newline

-7x + 3y = 2

\newline

(\_\_\_\_, \_\_\_\_)

Posted 3 months ago

Question

\newline

x = -2

\newline

-2x + 2y = -8

\newline

(\_\_\_\_, \_\_\_\_)

Posted 3 months ago

Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

At a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases

3

hot dog meals and

3

hamburger meals, paying a total of

\$36

. Mr. Hogan buys

1

hot dog meal and

3

hamburger meals, spending

\$26

in all. How much do the meals cost?

\newline

Hot dog meals cost

\$

_______ each, and hamburger meals cost

\$

Posted 3 months ago

Question

Solve the system of equations by substitution.

\newline

-3x - y - 3z = -11

\newline

z = 5

\newline

x - y + 3z = 19

\newline

(____.____,____)

Posted 3 months ago

Question

Solve the system of equations by elimination.

\newline

x - 3y - 2z = 10

\newline

3x + 2y + 2z = 14

\newline

2x - 3y - 2z = 16

\newline

(\_,\_,\_)

Posted 2 months ago

Question

Solve the system of equations.

\newline

y = x^2 + 36x + 3

\newline

y = 22x - 37

\newline

Write the coordinates in exact form. Simplify all fractions and radicals.

\newline

(\_,\_)

\newline

(\_,\_)

Posted 2 months ago

Question

Solve the system of equations.

\newline

y = -x - 24

\newline

x^2 + y^2 = 488

\newline

Write the coordinates in exact form. Simplify all fractions and radicals.

\newline

(\_,\_)

\newline

(\_,\_)

Posted 3 months ago