Q. Which ordered pair is a solution of the equation?−x−4y=−10Choose 1 answer:(A) Only (3,2)(B) Only (−3,3)(C) Both (3,2) and (−3,3)(D) Neither
Test 3,2: Step 1: Let's test the ordered pair 3,2 to see if it is a solution to the equation \$-x\(-4\)y=\(-10\)\$. Substituting \$x=\(3\)\$ and \$y=\(2\)\$ into the equation gives us \$\(-3\)\(-4\)(\(2\))=\(-10\)\$. Simplifying, we get \$\(-3\)\(-8\)=\(-11\)\$, which is not equal to \$\(-10\)\$. Therefore, \(3,2\) is not a solution to the equation.
Test \( (-3,3) \): Step \(2\): Next, we will test the ordered pair \( (-3,3) \). Substituting \( x=-3 \) and \( y=3 \) into the equation \( -x-4y=-10 \) gives us \( -(-3)-4(3)=-10 \). Simplifying, we get \( 3-12=-9 \), which is also not equal to \( -10 \). Therefore, \( (-3,3) \) is not a solution to the equation.
Conclusion: Step \(3\): Since neither \((3,2)\) nor \((-3,3)\) satisfy the equation \(-x-4y=-10\), the correct answer is that neither of these ordered pairs is a solution.
More problems from Does (x, y) satisfy the linear equation?