Answer:
[tex]x=-1[/tex] and [tex]y=4[/tex]
Step-by-step explanation:
Given:
[tex]2x - 5y = -22[/tex] equation:1
[tex]1x + 7y=27[/tex] equation:2
If two such equation is given, we can find the value of x and y by solving one equation in terms of single variable and putting it to the other equation to find the value of the second variable which gives the value of x and y.
Solving equation 2 to find the value of x in terms of y:
[tex]x=27-7y[/tex] equation: 3
Putting the value of x in equation:1
[tex]2x - 5y = -22[/tex]
[tex]2(27-7y)-5y=-22\\54-14y-5y=-22\\19y=54+22\\19y=76\\y=\frac{76}{19} \\y=4[/tex]
Putting the value of 'y' in equation:3
[tex]x=27-7y\\x=27-7(4)\\x=27-28\\x=-1[/tex]
