Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
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Answer:
Let x represents the Sara eat pancake and y represents the Phil eat the pancake.
As per the statement:
Phil ate three less than twice as many pancakes as Sara.
"Twice as many pancake as Sara" means 2x
"three less than twice as many pancakes as Sara" means 2x -3
⇒ .....[1]
It is also given that together they combined to eat 15 pancakes.
⇒ .....[2]
Substitute equation [1] into [2] we get;
Combine like terms;
3x-3 =15
Add 3 to both sides we get;
3x = 18
Divide both sides by 3 we get;
x = 6
Substitute the value of x in [1] we get;
y = 2(6)-3 = 12-3 =9
y = 9
Therefore, the pancakes did each eat are;
Sara eat pancake = 6 and Phil eat pancake = 9