Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which ordered pair is a solution of the equation? -x-4y=-10 Choose 1 answer: (A) Only (3,2) (B) Only (-3,3) (C) Both (3,2) and (-3,3) (D) Neither

Which ordered pair is a solution of the equation?\newline−x−4y=−10-x-4y=-10\newlineChoose 11 answer:\newline(A) Only (3,2)(3,2)\newline(B) Only (−3,3)(-3,3)\newline(C) Both (3,2)(3,2) and (−3,3)(-3,3)\newline(D) Neither

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Does (x, y) satisfy the linear equation?right chevron icon

Full solution

Q. Which ordered pair is a solution of the equation?\newline−x−4y=−10-x-4y=-10\newlineChoose 11 answer:\newline(A) Only (3,2)(3,2)\newline(B) Only (−3,3)(-3,3)\newline(C) Both (3,2)(3,2) and (−3,3)(-3,3)\newline(D) Neither
  1. Equation and Ordered Pairs: Understand the equation and the format of the ordered pairs.\newlineThe equation given is in standard form: −x−4y=−10-x - 4y = -10. An ordered pair (x,y)(x, y) is a solution to this equation if, when xx and yy are substituted into the equation, the equation is satisfied (both sides are equal).
  2. Testing 3,23, 2: Test the ordered pair 3,23, 2 in the equation.\newlineSubstitute x=3x = 3 and y=2y = 2 into the equation: \$-x - \(4\)y = \(-10\)\$.\(\newline\)Calculation: \$\(-3\) - \(4\)(\(2\)) = \(-3\) - \(8\) = \(-11\)\$.\(\newline\)Check if the left side equals the right side: \$\(-11\) \neq \(-10\)\$.
  3. Result for \((3, 2)\): Since \(-11\) does not equal \(-10\), the ordered pair \((3, 2)\) is not a solution to the equation.
  4. Testing \( (-3, 3) \): Test the ordered pair \( (-3, 3) \) in the equation.\(\newline\)Substitute \( x = -3 \) and \( y = 3 \) into the equation: \( -x - 4y = -10 \).\(\newline\)Calculation: \( -(-3) - 4(3) = 3 - 12 = -9 \).\(\newline\)Check if the left side equals the right side: \( -9 \neq -10 \).
  5. Result for \((-3, 3)\): Since \(-9\) does not equal \(-10\), the ordered pair \((-3, 3)\) is not a solution to the equation.

More problems from Does (x, y) satisfy the linear equation?

Question
Does the point (0,4)(0, 4) satisfy the equation y=xy = x??
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the slope of the line y=−4x+25 y = -4x + \frac{2}{5} .
Get tutor helpright-arrow

Posted 5 months ago

Question
Rewrite the following equation in slope-intercept form.\newliney+8=−8(x−10)y + 8 = -8(x - 10)
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the y y -intercept of the line 14x−16y=−10 14x - 16y = -10 .\newlineWrite your answer as an integer or decimal or fraction, not as an ordered pair.
Get tutor helpright-arrow

Posted 5 months ago

Question
Line q q has a slope of −23 \frac{-2}{3} . Line r r is perpendicular to q q . What is the slope of line r r ?
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the slope of the line y+3=−118(x+6)y + 3 = -\frac{1}{18}(x + 6).\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Line p p has an equation of y=−8x+6 y = -8x + 6 . Line q q , which is perpendicular to line p p , includes the point (2,−2) (2, -2) . What is the equation of line q q ??\newlineWrite the equation in slope-intercept form.
Get tutor helpright-arrow

Posted 5 months ago

Question
Is the graph of this equation a horizontal or vertical line?\newlinex=7x = 7
Get tutor helpright-arrow

Posted 5 months ago

Question
Determine the standard form of the following equation:\newliney=−10x+7 y = -10x + 7
Get tutor helpright-arrow

Posted 5 months ago

Question
A line with a slope of 99 passes through the point (9,9)(9,9). What is its equation in point-slope form?
Get tutor helpright-arrow

Posted 5 months ago

View all (122)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant