Answer
Each egg costs 0.4USD while each strip of bacon cost 0.65USD.
Work Step by Step
Let $x$ be the cost of each egg and $y$ be the cost of each strip of bacon.
Equation 1: $3x+4y=3.80$
Equation 2: $2x+3y=2.75$
We can solve for the value of $x$ and $y$ using addition method. Multiply equation 1 by $-2$ and equation 2 by $3$.
Equation 1: $$[3x+4y=3.80]\cdot-2$$ $$-6x-8y=-7.6$$
Equation 2: $$[2x+3y=2.75]\cdot3$$ $$6x+9y=8.25$$
Add the resulting equations:
$$-6x-8y=-7.6$$ $$+$$ $$6x+9y=8.25$$ $$=$$ $$y=0.65$$
Substitute this value of $y$ to equation 1:
$$3x+4(0.65)=3.80$$ $$3x+2.6=3.80$$
Subtract $2.6$ from both sides:
$$3x+2.6-2.6=3.80-2.6$$ $$3x=1.2$$
Divide both sides by $3$:
$$\frac{3x}{3}=\frac{1.2}{3}$$ $$x=0.4$$
Use equation 2 to check:
$$2(0.4)+3(0.65)=2.75$$ $$0.8+1.95=2.75$$ $$2.75=2.75$$