Solve the system of equations using substitution: x = 3 6x + y = 19
Understand the Problem
The question asks to solve a system of equations using the substitution method. We're given two equations: x = 3 and 6x + y = 19. Since we are already given x = 3, we just need to substitute x = 3 into 6x + y = 19 and solve for y.
Answer
$(3, 1)$
Answer for screen readers
$(3, 1)$
Steps to Solve
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Substitute the value of x into the second equation We are given $x = 3$, so we substitute this value into the equation $6x + y = 19$. This gives us: $6(3) + y = 19$
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Simplify the equation Multiply 6 by 3: $18 + y = 19$
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Solve for y Subtract 18 from both sides of the equation: $18 + y - 18 = 19 - 18$ $y = 1$
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Write the solution as an ordered pair Since $x = 3$ and $y = 1$, the solution is $(3, 1)$.
$(3, 1)$
More Information
The solution to the system of equations is the ordered pair $(3, 1)$. This means that the point (3, 1) satisfies both equations.
Tips
A common mistake is to forget to substitute the value into the correct equation or to make a mistake in the arithmetic when solving for y. Also, be sure to write the answer as an ordered pair with x listed first i.e. (x, y).
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