Problem

Solve the simultaneous equations below. \[ \begin{array}{r} y-7 x+18=0 \\ 3 x+y-2=0 \end{array} \]

Solution

Step 1 :Rewrite the first equation to isolate y: \(y = 7x - 18\)

Step 2 :Substitute this expression for y into the second equation: \(3x + (7x - 18) - 2 = 0\)

Step 3 :Simplify and solve for x: \(10x - 20 = 0\) => \(x = 2\)

Step 4 :Substitute the value of x back into the expression for y: \(y = 7(2) - 18\) => \(y = -4\)

Step 5 :\(\boxed{x = 2, y = -4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16301/

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