Question

Malik used these steps to solve the system of equations. 2 x 4 y = 20. 5 x minus 3 y = 11. Step 1 6 x 12 y = 60. 20 x minus 12 y = 44. Step 2 Step 3 x = 4 Step 4 2 (4) 4 y = 20. 8 4 y = 20. 4 y = 12. Y = 3. Step 5 The solution is (4, 3). What needs to be done in step 2? Divide both sides of the equations in step 1 by the same number to eliminate one variable. Multiply both sides of the equations in step 1 by the same number to eliminate one variable. Add the equations in step 1 to eliminate one variable. Subtract the equations in step 1 to eliminate one variable.

Answer 1

The "step 2" that Malik should take in order to solve the given system of equations is to add both equations.

Given to us

• 2x + 4y = 20
• 5x - 3y = 11

Step 1: Multiply the first equation with 3, while the second equation with 4,

6x + 12 y = 60

20x - 12 y = 44

Step 2: Add both the equations,

(6x + 12y) + (20x - 12y) = 60+44

Step 3: caluculate the value of x,

x = 4

Step 4: Substitute the value of x in equation 1,

2(4) + 4y = 20

8 + 4y = 20.

4y = 12

Y = 3

Step 5: The solution is (4, 3).

Hence, the "step 2" that Malik should take in order to solve the given system of equations is to add both equations.

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