Problem

Solve the simultaneous equations below using substitution. \[ \begin{array}{r} 7 x-2 y=15 \\ y+6=2 x \end{array} \]

Solution

Step 1 :From the second equation, we have $y = 2x - 6$

Step 2 :Substitute this expression for $y$ into the first equation: $7x - 2(2x - 6) = 15$

Step 3 :Simplify the equation: $7x - 4x + 12 = 15$

Step 4 :Combine like terms: $3x = 3$

Step 5 :Divide by 3: $x = 1$

Step 6 :Substitute $x = 1$ back into the expression for $y$: $y = 2(1) - 6$

Step 7 :Simplify: $y = -4$

Step 8 :\(\boxed{(1, -4)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16305/

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