what does Solve for the first variable in one of the equations, then substitute the result into the other equation.
This is a common problem-solving strategy in algebra. When given a system of two equations with two variables, you can solve for one of the variables in one of the equations and substitute that value into the other equation to find the value of the other variable.
For example, consider the system:
2x + 3y = 11
x - 2y = -4
To use the strategy, we can start by solving for one of the variables, say x, in the second equation:
x = 2y - 4
We can then substitute this value of x into the first equation and solve for y:
2(2y - 4) + 3y = 11
4y - 8 + 3y = 11
7y = 19
y = 19/7
Now that we know y, we can substitute it back into either equation to find x:
x - 2(19/7) = -4
x = 2(19/7) - 4
Therefore, the solution to the system is:
x = 6/7
y = 19/7