Use this system of equations to answer the questions that follow.4x−9y=74𝑥−9𝑦=7−2x+3y=4−2𝑥+3𝑦=4What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
Question
Use this system of equations to answer the questions that follow.4x−9y=74𝑥−9𝑦=7−2x+3y=4−2𝑥+3𝑦=4What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
Solution
To eliminate the x-terms when adding the two equations, you would need to multiply the second equation by 2. This is because the x-term in the first equation is 4x and in the second equation is -2x. Multiplying the second equation by 2 would give you -4x, which when added to 4x from the first equation, would eliminate the x-terms.
To eliminate the y-terms when adding the two equations, you would need to multiply the second equation by 3. This is because the y-term in the first equation is -9y and in the second equation is 3y. Multiplying the second equation by 3 would give you 9y, which when added to -9y from the first equation, would eliminate the y-terms.
Similar Questions
Solve the system of equations by elimination. Identify the correct solution below. 7x+2y=67𝑥+2𝑦=6−14x−4y=−12−14𝑥−4𝑦=−12Question 3Select one:a.No solutionb.Infinite number of solutionsc.(7, 2)d.(6,-12)
An equivalent equation has been written by multiplying the second equation by 22.4x−9y=74𝑥−9𝑦=7→→4x−9y=74𝑥−9𝑦=72(−2x+3y=4)2(−2𝑥+3𝑦=4)→→−4x+6y=8−4𝑥+6𝑦=8What is the solution to the system?Responses(−5,−192)negative 5 comma negative 19 halves(−152,−113)negative 15 halves comma negative 11 thirds(−1910, 115)negative 19 tenths comma 1 fifteenth(−192,−5)
Find the solution of the system of equations.minus, 7, x, minus, 4, y, equals, minus, 44−7x−4y=−447, x, minus, 3, y, equals, 167x−3y=16
Use the elimination method to solve the system of equations. Choose the correct ordered pair.7x + 4y = 392x + 4y = 14A.(5, 1)B.(5, 4)C.(3, 4)D.(3, 2)
Louisa wants to use the elimination method to solve the system of equations shown below. She decides to multiply the second equation by a number in order to eliminate the x terms. What should Louisa multiply by and what is the new equation?3x + 4y = 40x + 6y = 18ResponsesLouisa should multiply by -3. The result is -3x - 18y = - 54. Louisa should multiply by -3. The result is -3x - 18y = - 54. Louisa should multiply by 3. The result would be 3x + 18y = 18Louisa should multiply by 3. The result would be 3x + 18y = 18Louisa should multiply by -3. The result is -3x + 6y = 18.Louisa should multiply by -3. The result is -3x + 6y = 18.Louisa should multiply by 3. The result is 3x + 6y = 18.
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