Answer:
[tex]13x-25y+21[/tex]
Step-by-step explanation:
[tex]\longmapsto[/tex] [tex]5(2y-3x)+7(4x-5y+3)[/tex]
Use the distributive property to multiply 5 by 2y-3x:
[tex]\longmapsto[/tex] [tex]10y-15x+7\left(4x-5y+3\right)[/tex]
Use the distributive property to multiply 7 by 4x-5y+3:
[tex]\longmapsto[/tex] [tex]10y-15x+28x-35y+21[/tex]
Combine like terms: -15x and 28x= 13x, and Combine 10y and -35y =
-25y:
[tex]\longmapsto[/tex] [tex]-25y+13x+21[/tex]
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