Respuesta :
y = 4
x = 1
The first step is to multiply such that one variable is the negation of that same variable in the opposite equation:
10x + 2y = 18
-10x + 7y =18
Next, combine the equations:
9y = 36
Divide:
y = 4
Then, to solve for x, just put the value of y into the original equation.
5x + 4 = 9
Subtract 4 from 9:
5x = 5
Divide:
x = 1
And then, to check your answers, insert your variables into the other equations:
-10(1) + 7(4) = 18
Multiply your variables:
-10 + 28 = 18
Add 10 to 18:
28 = 28
And there you go!
x = 1
The first step is to multiply such that one variable is the negation of that same variable in the opposite equation:
10x + 2y = 18
-10x + 7y =18
Next, combine the equations:
9y = 36
Divide:
y = 4
Then, to solve for x, just put the value of y into the original equation.
5x + 4 = 9
Subtract 4 from 9:
5x = 5
Divide:
x = 1
And then, to check your answers, insert your variables into the other equations:
-10(1) + 7(4) = 18
Multiply your variables:
-10 + 28 = 18
Add 10 to 18:
28 = 28
And there you go!
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
5x + y = 9
- 10x + 7y = 18 [tex]\rightarrow[/tex] (ii)
Now, multiplying "5x + y = 9" by 2 we get,
10x + 2y = 18[tex]\rightarrow[/tex] (i)
Now, using Elimination method.
So, we gotta subtract Equation (i) from Equation (ii)
Equation (i) - (ii)
[tex](10x + 2y) - ( - 10x + 7y) = 18 - 18 \\ \\ \implies \: 10x + 2y + 10x - 7y = 0 \\ \\ \implies \: \cancel{10x} + 2y + \cancel{10x} - 7y = 0 \\ \\ \implies - 5y = 0 \\ \\ \implies \: y = 5[/tex]
So, the value of "y" is 5. Now we gonna put the value of "y" in Equation (i).
[tex]10x + 2y = 18 \\ \\ \implies \: 10x + 2 \times 5 = 18 \\ \\ \implies10x + 10 = 18 \\ \\ \implies10x = 18 - 10 \\ \\ \implies10x = 8 \\ \\ \implies \: x = \frac{8}{10} \\ \\ \implies \: x = \cancel{ \frac{8}{10}} \\ \\ \implies \: x = \frac{4}{5} \\ \\ \implies \: x = 0.8[/tex]
So, at the we've found the values of "x" and "y".
x = 0.8 and y = 5
[tex] \boxed{ \frak \pink{Be \: Brainly}}[/tex]