what is the x - value in the solution to this system of linear equations?\n2x - y = 11\nx + 3y =…
what is the x - value in the solution to this system of linear equations?\n2x - y = 11\nx + 3y = - 5\n-3\n-1\n2\n4
Answer
Answer:
D. 4
Explanation:
Step1: Isolate y in the first - equation
From (2x - y=11), we get (y = 2x - 11).
Step2: Substitute y into the second equation
Substitute (y = 2x - 11) into (x + 3y=-5), then (x+3(2x - 11)=-5). Expand the left - hand side: (x + 6x-33=-5).
Step3: Combine like terms
Combine (x) and (6x): (7x-33=-5). Add 33 to both sides: (7x=-5 + 33), so (7x = 28).
Step4: Solve for x
Divide both sides by 7: (x=\frac{28}{7}=4).