Question

find the solution of the system of equations.
\\(4x - y = 11\\)
\\(2x - 4y = -26\\)
answer
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Explanation:

Step1: Isolate y from first equation

From $4x - y = 11$, rearrange to get $y = 4x - 11$.

Step2: Substitute y into second equation

Substitute $y = 4x - 11$ into $2x - 4y = -26$:
$$2x - 4(4x - 11) = -26$$
Expand and simplify:
$$2x - 16x + 44 = -26$$
$$-14x + 44 = -26$$

Step3: Solve for x

Subtract 44 from both sides:
$$-14x = -26 - 44$$
$$-14x = -70$$
Divide by -14:
$$x = \frac{-70}{-14} = 5$$

Step4: Solve for y using x=5

Substitute $x=5$ into $y = 4x - 11$:
$$y = 4(5) - 11 = 20 - 11 = 9$$

Answer:

$(5, 9)$