Question

4x + 5y = 71 and 5x + 3y = 66​

Answer 1

★FIND:

$\bold{The}$ $\bold{value}$ $\bold{of}$ $\bold{'x'}$ $\bold{and }$$\bold{'y'.}$

★GIVEN:

➾$\bold{4x + 5y = 71..EQ1}$

➾$\bold{5x + 3y = 66..EQ2}$

★SOLUTION:

➯$\bold{EQ1=>5(4x + 5y = 71)}$

➯$\bold{20x+25y=355..EQ3}$

➯$\bold{EQ2=>4(5x+3y=66)}$

➯$\bold{20x+12y=264..EQ4}$

$\bold{SUBTRACTING}$ $\bold{EQ3}$ $\bold{AND}$ $\bold{EQ4}$

☞$\bold{20x+25y-20x-12y=355-264}$

☞$\bold{13y=91}$

☞$\bold{y=91/13}$

☞$\bold{y=7}$

$\bold{sub,}$$\bold{y=7}$ $\bold{in}$ $\bold{EQ1}$ $\bold{OR}$ $\bold{EQ2}$

➛$\bold{EQ1=>4x+5(7)=71}$

➛$\bold{4x+35=71}$

➛$\bold{4x=71-35}$

➛$\bold{4x=36}$

➛$\bold{x=36/4}$

➛$\bold{x=9}$

$\bold{so,}$ $\bold{(x,y)}$ $\bold{=}$ $\bold{(9,7)}$

★VERIFICATION:

$\bold{sub, }$ $\bold{(x, y) =(9, 7)}$ $\bold{in}$ $\bold{EQ1}$ $\bold{OR}$$\bold{EQ2}$

➥$\bold{EQ1=>4(9)+5(7)=71}$

➥$\bold{36+35=71}$

➥$\bold{71=71}$

➥$\bold{EQ2=>5(9)+3(7)=66}$

➥$\bold{45+21=66}$

➥$\bold{66=66}$

⛬$\bold{(x,y)}$ $\bold{=}$ $\bold{(9,7)}$

Answer 2

x=9

y=7

here's your answers sorry I am busy cant do step by step