Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

y^(2)+25=x

10 y=x
If
(x,y) is a solution to the system of equations shown, which of the following is an
x-coordinate of the solution?
Choose 1 answer:
(A) 50
(B) -50
(C) -5
(D) 5

$y^{2}+25=x$ $\newline$ $10 y=x$ $\newline$ If $(x, y)$ is a solution to the system of equations shown, which of the following is an $x$ -coordinate of the solution? $\newline$ Choose $1$ answer: $\newline$ (A) $50$ $\newline$ (B) $-50$ $\newline$ (C) $-5$ $\newline$ (D) $5$

View step-by-step help

View step-by-step help

Is (x, y) a solution to the system of linear inequalities?

Full solution

Q.

y^{2}+25=x

\newline

10 y=x

\newline

If

(x, y)

is a solution to the system of equations shown, which of the following is an

x

-coordinate of the solution?

\newline

Choose

1

answer:

\newline

(A)

50

\newline

(B)

-50

\newline

(C)

-5

\newline

(D)

5

Substitute $x$ for $10y$ : Let's substitute $10y$ for $x$ in the first equation, since $10y = x$ from the second equation. $\newline$ $y^2 + 25 = 10y$
Rearrange equation and solve for y: Now, let's rearrange the equation to set it to zero and solve for y. $\newline$ $y^2 - 10y + 25 = 0$
Factor the equation: We notice that the equation $y^2 - 10y + 25$ is a perfect square trinomial, which factors into $(y - 5)^2$ . $\newline$ $(y - 5)^2 = 0$
Take the square root to find $y$ : To find the value of $y$ , we take the square root of both sides. $\newline$ $y - 5 = 0$ $\newline$ $y = 5$
Substitute $y$ back into the equation to find $x$ : Now that we have the value of $y$ , we can substitute it back into either of the original equations to find $x$ . Let's use the second equation $10y = x$ .
$10(5) = x$
$x = 50$

More problems from Is (x, y) a solution to the system of linear inequalities?

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 5 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 5 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 5 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 5 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 8 months ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant