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5x-2=3 -5 + 4y = 9 solve the system of equiations

2 Answers

10 votes

Answer:

x=1 and y=7/2

Step-by-step explanation:

To solve this problem, isolate the term of x from one side of the equation.

5x-2=3 and -5+4y=9

5x-2=3

First, add by 2 from both sides.

5x-2+2=3+2

Solve.

3+2=5

Rewrite the problem down.

5x=5

Divide by 5 from both sides.

5x/5=5/5

Solve.

5/5=1

x=1

-5+4y=9

First, add by 5 from both sides.

-5+4y+4=9+5

Solve.

9+5=14

4y=14

Divide by 4 from both sides.

4y/4=14/4

Solve.

14/2=7

4/2=2

Rewrite as a fraction.

y=7/2

Dividing is another option.

7/2=3.5

y=7/2

Therefore, the correct answer is x=1 and y=7/2.

I hope this helps you! Let me know if my answer is wrong or not.

User RedDragon
by
6.1k points
5 votes

Answer:


x=1,y=(7)/(2)

Step-by-step explanation:

Given the following question:


5x-2=3

-5+4y=9

To solve a system of equations we must start by solving the first equation for x, and then we substitute the value of x in in the second equation and then solve for y to find the value of both variables.



5x-2=3

-5+4y=9

-2+2=0

3+2=5

5x=5

5x/5=x

5/5=1

x=1

Substitute and solve the second equation:

x=1

-5+4y=9

-5+5=0

9+5=14

4y=14

4y/4=y

(14)/(4) =(7)/(2)

y=(7)/(2)

Your answers are "x = 1, and y = 7/2."

Hope this helps.

User Paul Fioravanti
by
6.3k points