anonymous
  • anonymous
Solve using the addition method. What is the x-value of the solution to the system? 2x – 3y = -1 3x + 4y = 24 4 3 2 none of the above
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
2x-3y=-1_3x+4y=24 Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 12. 4*(2x-3y=-1)_3*(3x+4y=24) Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 12. 4*(2x-3y)=4(-1)_3*(3x+4y)=3(24) Multiply 4 by each term inside the parentheses. 4*(2x-3y)=-4_3*(3x+4y)=3(24) Multiply 4 by each term inside the parentheses. 8x-12y=-4_3*(3x+4y)=3(24) Multiply 3 by each term inside the parentheses. 8x-12y=-4_3*(3x+4y)=72 Multiply 3 by each term inside the parentheses. 8x-12y=-4_9x+12y=72 Add the two equations together to eliminate y from the system. 9x+12y=72_8x-12y=-4_17x =68 Divide each term in the equation by 17. x=4 Substitute the value found for x into the original equation to solve for y. 8(4)-12y=-4 Multiply 8 by each term inside the parentheses. 32-12y=-4 Move all terms not containing y to the right-hand side of the equation. -12y=-36 Divide each term in the equation by -12. y=3 This is the final solution to the independent system of equations. x=4_y=3

Looking for something else?

Not the answer you are looking for? Search for more explanations.