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Activity Discussion Math Solve for x and y

• # Solve for x and y

Posted by on June 22, 2023 at 7:38 pm

2x+3y=9

8x-2y=5

replied 3 months, 1 week ago 3 Members · 2 Replies
• 2 Replies
• ### Khushi

Member
June 22, 2023 at 7:48 pm
2

To solve this, we will use the method of substitution-

2x + 3y = 9 …(1)

8x – 2y = 5 …(2)

Step 1: Solve equation (1) for x in terms of y:

2x = 9 – 3y

x = (9 – 3y) / 2

Step 2: Substitute x in equation (2) with the expression we obtained in step 1:

8((9 – 3y) / 2) – 2y = 5

Simplifying further:

4(9 – 3y) – 2y = 5

36 – 12y – 2y = 5

36 – 14y = 5

-14y = 5 – 36

-14y = -31

y = (-31) / (-14)

y = 31/14

y ≈ 2.2143

Step 3: Substitute the value of y back into equation (1) to find x:

2x + 3(2.2143) = 9

2x + 6.6429 = 9

2x = 9 – 6.6429

2x ≈ 2.3571

x ≈ 1.1786

Therefore, the solution to the system of equations is approximately x ≈ 1.1786 and y ≈ 2.2143.

• ### Raghav

Member
June 22, 2023 at 8:52 pm
0

Given,
2x + 3y = 9 …(1)
8x – 2y = 5 …(2)

Let’s solve them with the help of elimination method. In order to do that we need cancel out any 1 of the element.

Solution :-

Multiply Eq (1) by 2 & Eq (2) by 3, we get

4x + 6y = 18 ..(3)
24x – 6y = 15 ..(4)

Now Add Eq (3) & Eq (4), we get

(4x + 6y) + (24x – 6y) = 18 + 15
28x = 33
x = 33/28 OR x = 1.17

Using the value of x = 33/28 in Eq (1), we get
2(33/28) + 3y = 9
3y = 9 – 33/14
3y = 93/14
y = 31/14 OR y = 2.21

Hence, Solved!

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