I need help with substitution math.
Post your problem. Post as much work as you can, then tell us why you don't understand the next step.
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Of course! I can help you with substitution in math. Could you please provide me with a specific problem or concept you are struggling with?
Of course! I can help you with substitution in math. Substitution is a method used to solve systems of equations by expressing one variable in terms of the other and then substituting it into the other equation. This allows us to solve for the remaining variable.
Let me walk you through the process step by step:
Step 1: Write down the two equations you want to solve simultaneously. For example:
Equation 1: 3x + 2y = 10
Equation 2: 2x - y = 4
Step 2: Choose one equation and solve for one variable in terms of the other. In this case, let's solve Equation 2 for x:
2x - y = 4
2x = y + 4
x = (y + 4) / 2
Step 3: Substitute the expression you found for x into the other equation. Replace x in Equation 1 with the expression (y + 4) / 2:
3((y + 4) / 2) + 2y = 10
Step 4: Simplify and solve for y:
(3y + 12) / 2 + 2y = 10
3y + 12 + 4y = 20
7y + 12 = 20
7y = 20 - 12
7y = 8
y = 8 / 7
Step 5: Substitute the value of y back into the expression for x to find its value:
x = (8 / 7 + 4) / 2
x = (8 / 7 + 28 / 7) / 2
x = (36 / 7) / 2
x = 36 / 14
So, the solution to the system of equations is x = 36/14 and y = 8/7.
Remember, substitution is just one method for solving systems of equations. There are other methods like elimination or graphing that you can explore as well.