Answer:
x=-1 and y=-5
Step-by-step explanation:
ሰላም!
Given expressions let them given as two equations
Thus, substitute y=2+7x into equation (2)
[tex] - 2x + 6(2 + 7x) = - 28 \\ [/tex]
simplify it
[tex] - 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28[/tex]
subtract 12 from both sides
[tex]40x + 12 - 12 = - 28 - 12 \\ 40x = - 40[/tex]
divide both sides by 40
[tex] \frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1 [/tex]
Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y
[tex]y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5[/tex]
To be more sure make a cross check on both of the two expressions
Thus,
1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal
-5=2+7(-1)
-5=2-5
-5=-5
2)-2x+6y=-28... substitute and check
-2(-1)+6(-5)=-28
2-30=-28... (-a)(-b)=ab
-28=-28
Hope it helps!
