contestada

3x + 4y = 7 5x + 10y = 15 If you were going to solve the system above, what would be the best first step according to the strategy you just learned?

Respuesta :

Answer:

The solution of given system of equations is (1,1) and the first step is divide the second equation by 5 then multiply the resulted equation by 3. After that subtract resulted equation  from first equation to eliminate x.

Step-by-step explanation:

The given equations are

[tex]3x+4y=7[/tex]                         .... (1)

[tex]5x+10y=15[/tex]                     .... (2)

Step 1: Divide second equation by 5.

[tex]x+2y=3[/tex]                             ..... (3)

Step 2: Multiply equation (3) by 3.

[tex]3x+6y=9[/tex]                         .... (4)

Step 3: Now subtract equation (4) from (1).

[tex]3x+4y-(3x+6y)=7-9[/tex]

[tex]3x+4y-3x-6y=-2[/tex]

[tex]-2y=-2[/tex]

[tex]y=1[/tex]

Step 4: Put this value in equation 1.

[tex]3x+4(1)=7[/tex]

[tex]3x=3[/tex]

[tex]x=1[/tex]

Therefore the solution of equations are (1,1).

Ver imagen DelcieRiveria

Answer:

C. Solve for x in the second equation

Step-by-step explanation:

just did it on edge 2020