Answer:
the larger number is 29.4
Step-by-step explanation:
Let x be the larger number
Let y be the second number.
x + y = 49 solve for y
y = 49 - x Substitute this value of y into 2x = 3y + 8
2x = 3y + 8 Second equation
2x = 3(49 - x) Remove the brackets
2x = 147 - 3x Add 3x to both sides.
2x + 3x = 147 Combine like terms on the left
5x = 147 Divide by 5
5x/5 = 147/5
x = 29.4
