Answer:
x = 1; y = 2
Step-by-step explanation:
For this problem, let's take the substitution approach.
2x + 3y = 8
3x + 5y = 13
With the substitution approach, we will simply solve one equation for a variable, and plug that into the other equation to find the values for the variables.
2x + 3y = 8
2x = 8 - 3y
x = 8/2 - 3y/2
3x + 5y = 13
3(8/2 - 3y/2) + 5y = 13
24/2 - 9y/2 + 5y = 13
12 + 1y/2 = 13
1y/2 = 1
y = 2
Now let's plug this value of y into one of the other equations to find the value of x.
2x + 3y = 8
2x + 3(2) = 8
2x + 6 = 8
2x = 2
x = 1
Hence, the solutions for these equations are y = 2 and x = 1.
Cheers.
The value of x is 1 while the value of y is 2.
2x + 3y = 8 ....... equation i
3x + 5y = 13 ........ equation ii
We will multiply equation i by the coefficient of x in equation ii and we will multiply equation ii by the coefficient of x in equation ii
Multiply equation i by 3
Multiply equation ii by 2
6x + 9y = 24 ...... iii
6x + 10y = 26 .... iv
Subtract iii from iv
(10y - 9y) = (26 - 24)
y = 2
Put the value of y into equation i
2x + 3y = 8
2x + 3(2) = 8
2x + 6 = 8
2x = 8 - 6
2x = 2
x = 2/2
x = 1
The value of x is 1
In conclusion, the value of x is 1 and y is 2.
Read more on:
https://brainly.com/question/4734347
