In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
7x-28y=11 eq.1
14x+42y=1 eq.2
x = ?
y = ?
Step 02:
linear combination
7x-28y=11 * (-2)
14x+42y=1
------------------
7x*(-2)-28*(-2)y=11*(-2)
14x+42y=1
----------------------------
-14x + 56y = -22
14x + 42y = 1
----------------------------
+ 98y = - 21
y = -21 / 98 = - 3 /14
y in eq.1
7x - 28y = 11
7x - 28 ( -3/14) = 11
[tex]\begin{gathered} 7x\text{ + }\frac{84}{14}\text{ = 11 } \\ 7x\text{ + 6 = 11} \end{gathered}[/tex]7x = 11 - 6
x = 5 / 7
The answer is:
x = 5/7
y = -3 /14
