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5 x + 3 y + 7 z = 4 - eq 1

3x + 26 y + 2 z = 9 - eq 2

7x + 2 y + 10 z = 5 - eq 3

Multiply eq 1 by 3 and eq 2 by 5 sub tract,

9-130) y + 21-10)z = 12-45 =>

-121 y +11 z = -33 => 11y - z = 3

=> z = 11y - 3 --- eq 4 Substitute this in eq 1 & 3

5x+3y+77y-21 = 4 => 5x+80y = 25 => x+16y = 5

7x+2y+110y-30 = 5 => 7x+112y = 35 => x + 16y = 5

=> x =5 - 16y -- eq 5

3x + 26 y + 2 z = 9 - eq 2

7x + 2 y + 10 z = 5 - eq 3

Multiply eq 1 by 3 and eq 2 by 5 sub tract,

9-130) y + 21-10)z = 12-45 =>

-121 y +11 z = -33 => 11y - z = 3

=> z = 11y - 3 --- eq 4 Substitute this in eq 1 & 3

5x+3y+77y-21 = 4 => 5x+80y = 25 => x+16y = 5

7x+2y+110y-30 = 5 => 7x+112y = 35 => x + 16y = 5

=> x =5 - 16y -- eq 5

__You have infinite solutions for this.____( x,y,z ) = (5-16y , y , 11y-3 ) for any real value of y is the solution.__
5X+3Y+7Z=4SO. YOU CAN DO IT OTHER YOURSELF I SHOWED YOU A BIT